The Chronicles of Fractional Calculus
Since the 60s of last century Fractional Calculus exhibited a remarkable progress and presently it is recognized to be an important topic in the scientific arena. This survey analyzes and measures the evolution that occurred during the last five decades in the light of books, journals and conference...
Saved in:
| Published in | Fractional calculus & applied analysis Vol. 20; no. 2; pp. 307 - 336 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Warsaw
Versita
01.04.2017
De Gruyter Nature Publishing Group |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1311-0454 1314-2224 |
| DOI | 10.1515/fca-2017-0017 |
Cover
Loading…
| Abstract | Since the 60s of last century Fractional Calculus exhibited a remarkable progress and presently it is recognized to be an important topic in the scientific arena. This survey analyzes and measures the evolution that occurred during the last five decades in the light of books, journals and conferences dedicated to the theory and applications of this mathematical tool, dealing with operations of integration and differentiation of arbitrary (fractional) order and their generalizations. |
|---|---|
| AbstractList | Since the 60s of last century Fractional Calculus exhibited a remarkable progress and presently it is recognized to be an important topic in the scientific arena. This survey analyzes and measures the evolution that occurred during the last five decades in the light of books, journals and conferences dedicated to the theory and applications of this mathematical tool, dealing with operations of integration and differentiation of arbitrary (fractional) order and their generalizations. |
| Author | Kiryakova, Virginia Machado, J. A. Tenreiro |
| Author_xml | – sequence: 1 givenname: J. A. Tenreiro surname: Machado fullname: Machado, J. A. Tenreiro email: jtm@isep.ipp.pt organization: Polytechnic of Porto Dept. of Electrical Engineering, Institute of Engineering – sequence: 2 givenname: Virginia surname: Kiryakova fullname: Kiryakova, Virginia organization: Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| BookMark | eNqFkM9LwzAYhoNMcM4dvRfEY2Z-fe2CJylOhYGXeQ5ZlmyV2sykRfbfm66CIIqXfN_hfcLzvedo1PjGInRJyYwChRtnNGaEFpik5wSNKacCM8bE6LhTTASIMzSNsVoTEIKAhGKMrlc7m5W74JvK1DZm3mWLoE1b-UbXWalr09VdvECnTtfRTr_mBL0s7lflI14-PzyVd0tsuIQWF1LmxG4cLbiRFCTTjqyZs0yLTaHn3IA1zlLKHDfzHJJVLjUAE3OyTtY5n6Cr4d998O-dja169V1IJlExSLdwIKJIKTykTPAxBuvUPlRvOhwUJaovQ6UyVF-G6stIef4jb6pW9ye2QVf1n9TtQH3ourVhY7ehO6TlW-lXjhHGSU_PBjomt2b7L8Y_AeqqhDQ |
| CitedBy_id | crossref_primary_10_1007_s13540_022_00019_1 crossref_primary_10_1016_j_jare_2020_01_015 crossref_primary_10_1007_s40314_017_0530_1 crossref_primary_10_1007_s40840_018_0655_4 crossref_primary_10_1515_fca_2019_0062 crossref_primary_10_1186_s13662_019_2411_y crossref_primary_10_3389_fphys_2018_00975 crossref_primary_10_1007_s13540_023_00166_z crossref_primary_10_1007_s13540_023_00168_x crossref_primary_10_1016_j_cam_2021_113709 crossref_primary_10_1007_s13540_024_00332_x crossref_primary_10_5817_AM2020_4_207 crossref_primary_10_3390_electronics11081243 crossref_primary_10_1016_j_physa_2021_126009 crossref_primary_10_3390_math9192501 crossref_primary_10_1007_s11071_021_07158_9 crossref_primary_10_1515_fca_2019_0017 crossref_primary_10_1016_j_cam_2020_112811 crossref_primary_10_1002_mma_8417 crossref_primary_10_1016_j_dsp_2024_104490 crossref_primary_10_1098_rsta_2019_0284 crossref_primary_10_3390_fractalfract8040225 crossref_primary_10_1016_j_heliyon_2024_e35379 crossref_primary_10_1515_fca_2018_0048 crossref_primary_10_1007_s40065_023_00450_z crossref_primary_10_1016_j_physleta_2020_126303 crossref_primary_10_3390_fractalfract7080595 crossref_primary_10_3390_e23050544 crossref_primary_10_3390_fractalfract9020075 crossref_primary_10_1515_fca_2017_0056 crossref_primary_10_1007_s13540_022_00081_9 crossref_primary_10_21467_ajgr_7_1_11_17 crossref_primary_10_3390_math8010091 crossref_primary_10_1007_s40863_021_00226_3 crossref_primary_10_1515_fca_2019_0011 crossref_primary_10_3390_math9111177 crossref_primary_10_1007_s11071_020_05602_w crossref_primary_10_24193_subbmath_2023_4_03 crossref_primary_10_3390_fractalfract7020137 crossref_primary_10_1177_01423312221095840 crossref_primary_10_1016_j_cnsns_2017_11_009 crossref_primary_10_1016_j_cnsns_2019_105022 crossref_primary_10_1016_j_isatra_2018_01_026 crossref_primary_10_3390_machines11060585 crossref_primary_10_3390_math7060554 crossref_primary_10_1016_j_ecocom_2017_08_001 crossref_primary_10_3390_math7060509 crossref_primary_10_1007_s11071_021_06562_5 crossref_primary_10_1007_s13540_022_00014_6 crossref_primary_10_1016_j_aop_2021_168667 crossref_primary_10_1016_j_camwa_2018_12_016 crossref_primary_10_1016_j_physa_2022_128366 crossref_primary_10_1515_fca_2018_0033 crossref_primary_10_3390_axioms7040092 crossref_primary_10_1007_s40314_017_0514_1 crossref_primary_10_1007_s40435_024_01527_z crossref_primary_10_1142_S0218348X20501066 crossref_primary_10_1515_fca_2019_0044 crossref_primary_10_1007_s13540_024_00327_8 crossref_primary_10_3390_fractalfract8090535 crossref_primary_10_1515_fca_2020_0025 crossref_primary_10_1016_j_cnsns_2018_10_014 crossref_primary_10_1515_fca_2020_0022 crossref_primary_10_1017_S0263574723001595 crossref_primary_10_1007_s13540_024_00274_4 crossref_primary_10_3390_sym16070814 crossref_primary_10_1016_j_aml_2019_03_006 crossref_primary_10_1515_fca_2017_0032 crossref_primary_10_3390_math12152411 crossref_primary_10_1515_fca_2018_0024 crossref_primary_10_1016_j_jmaa_2024_128917 crossref_primary_10_1016_j_apnum_2023_12_011 crossref_primary_10_1364_OE_444739 crossref_primary_10_1515_fca_2018_0062 crossref_primary_10_1515_fca_2021_0028 crossref_primary_10_24193_subbmath_2022_4_02 crossref_primary_10_3390_math10203848 crossref_primary_10_1007_s13540_023_00219_3 crossref_primary_10_1515_fca_2021_0023 crossref_primary_10_1515_fca_2019_0076 crossref_primary_10_23939_mmc2022_02_351 crossref_primary_10_1016_j_jcp_2019_03_008 crossref_primary_10_3390_fractalfract8050251 crossref_primary_10_1002_mma_7773 crossref_primary_10_1515_fca_2020_0056 crossref_primary_10_1016_j_cnsns_2018_07_004 crossref_primary_10_1007_s40314_017_0488_z crossref_primary_10_1016_j_amc_2017_06_019 crossref_primary_10_1007_s13540_023_00134_7 crossref_primary_10_1002_num_22332 crossref_primary_10_1007_s10958_021_05568_z crossref_primary_10_1007_s40314_020_01240_5 crossref_primary_10_3389_fenrg_2024_1350076 crossref_primary_10_1109_MCAS_2022_3160905 crossref_primary_10_3390_fractalfract9030169 |
| Cites_doi | 10.1007/978-3-642-23117-9 10.1007/978-0-387-98128-4 10.1007/978-1-4614-6762-5 10.1007/978-94-007-0747-4 10.1007/978-3-319-00936-0 10.1007/978-3-319-20771-1 10.1142/8695 10.1007/978-88-470-2823-4 10.1007/978-3-642-30898-7 10.1201/b18503 10.1007/978-3-319-14756-7 10.1515/fca-2015-0031 10.1007/978-3-642-25358-4 10.1007/978-1-84996-335-0 10.1142/3779 10.1201/b17177 10.1007/978-3-319-45249-4 10.1007/978-3-642-14574-2 10.1142/9585 10.1002/9781118387726 10.1142/p991 10.1016/j.cnsns.2010.05.027 10.1142/q0026 10.3390/e18060217 10.1201/b18684 10.1007/978-1-4471-5388-7 10.1007/978-3-642-20502-6 10.1142/p871 10.1002/9781119139447 10.1007/978-3-319-19635-0 10.1049/PBCE091E 10.1007/978-3-319-15335-3 10.1007/978-3-319-04834-5 10.1049/PBCE107E 10.1142/p264 10.1142/9069 10.1007/978-3-642-18101-6 10.1142/8072 10.1142/8180 10.1093/acprof:oso/9780199234868.001.0001 10.1142/9413 10.2478/s13540-013-0030-y 10.1142/8185 10.1142/p395 10.1515/9783110258165 10.1007/BFb0084665 10.1142/7709 10.1007/978-3-319-15284-4 10.1201/9780203487372 10.1007/978-0-387-21746-8 10.1515/9783110522075 10.1142/8934 10.1142/4069 10.1007/s11192-013-1032-6 10.1515/9783110497977 10.1007/978-3-319-17954-4 10.1515/fca-2016-0059 10.1515/9783110935974 10.1002/9781118760864 10.1007/978-0-387-75894-7 10.1007/978-1-4471-2233-3 10.1007/978-3-642-20545-3 10.1007/978-3-319-54460-1 10.1007/978-3-319-07875-5 10.1002/9781118618059 10.1007/978-3-319-25562-0 10.1007/978-3-319-21051-3 10.1007/978-3-319-10930-5 10.1007/978-3-642-35512-7 10.1007/978-3-662-43930-2 10.1007/978-1-84628-797-8 10.1142/9543 10.1007/BFb0060468 10.1007/978-94-011-1196-6 10.1142/3438 10.1007/978-3-642-31549-7 10.1007/978-3-319-28739-3 10.1007/978-94-015-8092-2 10.1007/978-1-4471-2852-6 10.1007/978-3-319-03551-2 10.1142/p614 10.1007/978-3-642-36739-7 10.1007/978-1-4614-4036-9 10.1007/978-3-319-08621-7 10.1201/b19666 10.1007/978-94-017-9807-5 |
| ContentType | Journal Article |
| Copyright | Diogenes Co., Sofia 2016 This work is published under https://creativecommons.org/publicdomain/zero/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: Diogenes Co., Sofia 2016 – notice: This work is published under https://creativecommons.org/publicdomain/zero/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | AAYXX CITATION 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1515/fca-2017-0017 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1314-2224 |
| EndPage | 336 |
| ExternalDocumentID | 10_1515_fca_2017_0017 10_1515_fca_2017_0017202307 |
| GroupedDBID | 06D 0VY 2LR 2WC 30V 3V. 4.4 406 408 8FE 8FG 9-A AACDK AAFPC AAGVJ AAIAL AAJBT AAONY AAPJK AAQCX AARHV AASML AASQH AATNV AAXCG AAYZH ABAKF ABAQN ABFKT ABJCF ABJNI ABRQL ABSOE ABTKH ABUWG ABYKJ ACAOD ACBXY ACDTI ACEFL ACGFS ACIPV ACIWK ACMKP ACPIV ACXLN ACZBO ACZOJ ADGQD ADGYE ADINQ ADJVZ ADOZN AEFQL AEKEB AEMSY AENEX AEQDQ AERZL AESKC AFBAA AFBBN AFCXV AFGNR AFKRA AFLOW AFWTZ AGJBK AGMZJ AGQEE AHBYD AHSBF AIAKS AIGIU AIKXB AKXKS ALMA_UNASSIGNED_HOLDINGS ALUKF AMAVY AMKLP AMXSW AMYLF ARAPS ASPBG AVWKF AZFZN AZMOX AZQEC BAKPI BAPOH BBCWN BCIFA BENPR BGLVJ BGNMA BLHJL BPHCQ CCPQU CFGNV DPUIP DWQXO EBLON EBS EJD FEDTE FIGPU GNUQQ GQ7 H13 HCIFZ HF~ HMJXF HVGLF HZ~ IAO IWAJR IY9 J9A JZLTJ K6V K7- KOV L6V LLZTM LO0 M0N M4Y M7S NPVJJ NQJWS NU0 OK1 P9R PQQKQ PROAC PTHSS QD8 R9I ROL RSV S1Z S27 S3B SHX SJN SJYHP SMT SOJ T13 TR2 U2A VC2 WK8 WTRAM ~A9 ABBRH ABDBE ABFSG ABRTQ ACSTC AEZWR AFDZB AFHIU AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA DSRVY PHGZM PHGZT PQGLB PUEGO AAYXX AFOHR CITATION 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c395t-79960edf173c91592af0b2fe2a4d7a83c5ecfe112f3c86531169a552480b01763 |
| IEDL.DBID | U2A |
| ISSN | 1311-0454 |
| IngestDate | Wed Aug 27 14:45:13 EDT 2025 Tue Jul 01 00:57:07 EDT 2025 Thu Apr 24 23:08:41 EDT 2025 Sat Sep 06 17:01:02 EDT 2025 Fri Feb 21 02:47:39 EST 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Keywords | 01A60 fractional calculus development Primary 26A33 fractional order differential equations Secondary 34A08, 35R11, 60G22 fractional order mathematical models 01A61, 01A67 applications |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c395t-79960edf173c91592af0b2fe2a4d7a83c5ecfe112f3c86531169a552480b01763 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| OpenAccessLink | https://www.degruyter.com/downloadpdf/journals/fca/20/2/article-p307.pdf |
| PQID | 2522435047 |
| PQPubID | 2039846 |
| PageCount | 30 |
| ParticipantIDs | proquest_journals_2522435047 crossref_primary_10_1515_fca_2017_0017 crossref_citationtrail_10_1515_fca_2017_0017 walterdegruyter_journals_10_1515_fca_2017_0017202307 springer_journals_10_1515_fca_2017_0017 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2017-04-01 |
| PublicationDateYYYYMMDD | 2017-04-01 |
| PublicationDate_xml | – month: 04 year: 2017 text: 2017-04-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Warsaw |
| PublicationPlace_xml | – name: Warsaw – name: Heidelberg |
| PublicationSubtitle | An International Journal for Theory and Applications |
| PublicationTitle | Fractional calculus & applied analysis |
| PublicationTitleAbbrev | FCAA |
| PublicationYear | 2017 |
| Publisher | Versita De Gruyter Nature Publishing Group |
| Publisher_xml | – name: Versita – name: De Gruyter – name: Nature Publishing Group |
| References | KilbasARogosinSAnalytic Methods of Analysis and Differential Equations: AMADE-20062008CambridgeCambridge Scientific Publishers1188.34002 FurduiOLimits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis2013Springer, New YorkProblem Books in Mathematics.1279.26017 JacobNPseudo Differential Operators & Markov Processes: Markov Processes and Applications (Vol. 3)2005LondonImperial College Press1076.60003 AtanackovićT MPilipovićSStankovićBZoricaDFractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes2014CroydonMechanical Engineering and Solid Mechanics. Wiley-ISTE1291.74001 AtanackovićT MPilipovićSStankovićBZoricaDFractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles2014CroydonMechanical Engineering and Solid Mechanics. Wiley-ISTE1293.74001 MachadoJ TGalhanoA MTrujilloJ JOn development of fractional calculus during the last fifty yearsScientometrics2014981577582 AlmeidaRPoosehSTorresD FComputational Methods in the Fractional Calculus of Variations2015LondonImperial College Press1322.49001 FreedADiethelmKLuchkoYFractional-order viscoelasticity (FOV): Constitutive development using the fractional calculus: First annual report2002Brook Rark, OhioNASA/TM 2002-211914, NASA’s Glenn Research Center LuoYChenYFractional Order Motion Controls2012New YorkJohn Wiley & Sons CohenSKuznetsovAKyprianouARiveroVLévy Matters II. Recent Progress in Theory and Applications: Fractional Lévy Fields, and Scale Function2013Springer, BerlinLecture Notes in Mathematics.1252.60001 ZaslavskyG MHamiltonian Chaos and Fractional Dynamics2008OxfordOxford University Press1152.37001 PozrikidisCThe Fractional Laplacian2016Boca RatonCRC Press1351.26001 NishimotoKFractional Calculus, Vol. 31989KoriyamaDescartes Press RusevPDimovskiIKiryakovaVTransform Methods & Special Functions, Varna’96 (Proc. 2nd International Workshop, with special session on FC and “Open Problems in FC” Round Table)1998SofiaInstitute of Mathematics and Informatics (IMI - BAS) BaleanuDDiethelmKScalasETrujilloJ JFractional Calculus: Models and Numerical Methods2012SingaporeSeries on Complexity, Nonlinearity and Chaos: Volume 3. World Scientific Publishing Company1248.26011 DaouR A ZMoreauXFractional Calculus: Applications2014Nova Science PublishersMathematics Research Developments. DiethelmKThe Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type2010Springer, HeidelbergLecture Notes in Mathematics.1215.34001 JacobNPseudo-Differential Operators and Markov Processes: Fourier Analysis and Semigroups (Vol. 1)2002SingaporeWorld Scientific Publishing Company KlagesRRadonsGSokolovI MAnomalous Transport: Foundations and Applications2008GermanyWiley-VCH FreedA DSoft Solids: A Primer to the Theoretical Mechanics of Materials2014ChamModeling and Simulation in Science, Engineering and Technology. Birkhäuser1296.74002 ZhouYBasic Theory of Fractional Differential Equations2014SingaporeWorld Scientific Publishing Company1336.34001 BaleanuDMachadoJ A TGüvençZ BNew Trends in Nanotechnology and Fractional Calculus Applications2009DordrechtSpringer Martínez-GuerraRPérez-PinachoC AGómez-CortésG CSynchronization of Integral and Fractional Order Chaotic Systems: A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time2015Springer, ChamUnderstanding Complex Systems.1309.70002 MitkowskiWKacprzykJBaranowskiJAdvances in the Theory and Applications of Non-integer Order Systems: 5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Poland2013Springer, ChamLecture Notes in Electrical Engineering.1271.93002 DaouR A ZMoreauXFractional Calculus: Theory2014Nova Science PublishersMathematics Research Developments. MalinowskaA BTorresD F MIntroduction to the Fractional Calculus of Variations2012SingaporeImperial College Press1258.49001 SpasićD TGrahovacNŽigićMRapaićMAtanackovićT MInternational Conference on Fractional Differentiation and Applications2016SerbiaNovi Sad IbeO CElements of Random Walk and Diffusion Processes2013Wiley, HobokenWiley Series in Operations Research and Management Science.1294.60002 AnastassiouG AArgyrosI KIntelligent Numerical Methods: Applications to Fractional Calculus2015Springer, ChamStudies in Computational Intelligence.1354.65003 MatignonDMontsenyGSystèmes Différentiels Fractionnaires. Modèles, Méthodes & Applications (Journées Thématiques, ENST, Paris, Dec. 1998)1998ParisESAIM Proc.0907.00032 NakhushevA MFractional Calculus and its Applications2003MoscowFizmatlit1066.26005 RossBFractional Calculus and Its Applications, Proceedings of the International Conference, New Haven University, New Haven1974New YorkSpringer-Verlag MéndezVCamposDBartumeusFAnomalous Diffusion, Front Propagation and Random Searches2014SpringerStochastic Foundations in Movement Ecology.1295.92010 HendersonJLucaRBoundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions2016AmsterdamElsevier1353.34002 BakuninO GTurbulence and Diffusion: Scaling Versus Equations2008Springer-Verlag, Berlin, HeidelbergSpringer Series in Synergetics.1172.76001 CouceiroMGhamisiPFractional Order Darwinian Particle Swarm Optimization: Applications and Evaluation of an Evolutionary Algorithm2016Springer, ChamSpringerBriefs in Applied Sciences and Technology.1325.68003 DzherbashyanM MIntegral Transforms and Representations of Functions in Complex Domain (In Russian)1966MoscowNauka SamkoS GKilbasA AMarichevO IFractional Integrals and Derivatives: Theory and Applications1987Minsknewblock Nauka i Tekhnika0617.26004 CaputoMLectures on Seismology and Rheological Tectonics1992RomaLecture Notes. Universitá La Sapienza, Dipartimento di Fisica KaczorekTWybrane zagadnienia teorii układów niecałkowitych rzȩdów (in Polish)2009PolandOficyna wydawnicza Politechniki Białostockiej, Białystok TudorC AAnalysis of Variations for Self-similar Processes: A Stochastic Calculus Approach2013Springer, ChamProbability and Its Applications.1308.60004 ZhouYFractional Evolution Equations and Inclusions: Analysis and Control2016AmsterdamAcademic Press1343.34001 AbbasSBenchohraMN’GuérékataG MAdvanced Fractional Differential and Integral Equations2014Nova Science PublishersMathematics Research Developments.1314.34002 KilbasA ASrivastavaH MTrujilloJ JTheory and Applications of Fractional Differential Equations2006AmsterdamNorth-Holland Mathematics Studies, Elsevier1092.45003 HuYIntegral Transformations and Anticipative Calculus for Fractional Brownian Motions2005American Mathematical SocietyMemoirs of the American Mathematical Society.1072.60044 KiryakovaV SGeneralized Fractional Calculus and Applications1994New YorkPitman Research Notes in Mathematics, Vol. 301. Longman Sci. Tech. & J. Wiley0882.26003 CohenSIstasJFractional Fields and Applications2013Springer, HeidelbergMathématiques et Applications.1279.60006 DasSFunctional Fractional Calculus: For System Identification and Controls2008HeidelbergSpringer-Verlag, Berlin1154.26007 DomekSDworakPTheoretical Developments and Applications of Non-Integer Order Systems: 7th Conference on Non-Integer Order Calculus and Its Applications, Szczecin, Poland2016Springer, ChamLecture Notes in Electrical Engineering (Book 357).1320.93006 ElmenreichWMachadoJ A TRudasI JIntelligent Systems at the Service of Mankind - Vol. 22005NeusässUbooks Verlag MachadoJ A TLuoA C JBarbosaR SSilvaM SFigueiredoL BNonlinear Science and Complexity2010DordrechtSpringer XueDChenYSolving Applied Mathematical Problems with MATLAB2008Boca RatonChapman & Hall/CRC Press1156.00013 Paneva-KonovskaJFrom Bessel to Multi-Index Mittag Leffler Functions: Enumerable Families, Series in them and Convergence2016Co, LondonWorld Scientific Publ.1353.33001 MainardiFFractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models20152SingaporeWorld Scientific Publishing Company1210.26004 RabotnovY NElements of Hereditary Solids Mechanics1977MoscowNauka PetrášIFractional-Order Nonlinear Systems: Modeling, Analysis and Simulation2011Springer, HeidelbergSeries Nonlinear Physical Science.1228.34002 Gil’mutdinovA KUshakovP AKhazaliR EFractal Elements and their Applications2017SpringerAnalog Circuits and Signal Processing.1402.94001 OustaloupAMathieuBLa commande CRONE: du scalaire au multivariable1999ParisHermès Science0936.93004 SneddonI NMixed Boundary Value Problems in Potential Theory1966AmsterdamNorth Holland0139.28801 NishimotoKFractional Calculus, Vol. 41991KoriyamaDescartes Press JiaoZChenYPodlubnyIDistributed-Order Dynamic Systems: Stability, Simulation, Applications and Perspectives20121401.93005 OustaloupASystèmes asservis linéaires d’ordre fractionnaire: Théorie et pratique1983Masson, ParisSerie Automatique. BajlekovaE GFractional Evolution Equations in Banach Spaces2001NetherlandsPhD thesis, Univ. Press, Eindhoven Univ. of Technology0989.34002 LetnikovA VChernykhV AThe Foundations of Fractional Calculus2011MoscowNeftegaz BiswasKBohannanGCaponettoRLopesAMachadoTFractional Order Devices2017 MishuraYAnomalous Transport: Foundations and Applications2008Springer, Berlin, HeidelbergLecture Notes in Mathematics. ArenaPCaponettoRPortoL F MNonlinear Noninteger Order Systems: Theory and Applications2001SingaporeNonlinear Science. World Scientific Publishing Company0966.93006 MachadoJ TGalhanoA MTrujilloJ JScience metrics on fractional calculus development since 1966Fractional Calculus and Applied Analysis201316247950030337011312.26004 WestB JFractional Calculus View of Complexity: Tomorrow’s Science2015Boca RatonCRC Press1330.00030 LorenzoC FHartleyT TThe Fractional Trigonometry: With Applications to Fractional Differential Equations and Science20161375.26003 KlimekMOn Solutions of Linear Fractional Differential Equations of a Variational Type2009PolandCzestochowa University of Technology, Czestochowa MillerK SRossBAn Introduction to the Fractional Calculus and Fractional Differential Equations1993New YorkJohn Wiley and Sons0789.26002 I Petráš (200202_CR156) 2011 M Caputo (200202_CR32) 1969 S Das (200202_CR45) 2012 J T Machado (200202_CR101) 2013; 16 (200202_CR188) 2007 J Sabatier (200202_CR175) 2015 J A T Machado (200202_CR108) 2016; 19 (200202_CR18) 2011 B L S P Rao (200202_CR165) 2010 X J Yang (200202_CR209) 2015 A V Letnikov (200202_CR93) 2011 H M Srivastava (200202_CR183) 1982 I Pan (200202_CR152) 2013 V E Tarasov (200202_CR187) 2011 H Fallahgoul (200202_CR50) 2016 K Nishimoto (200202_CR136) 1984 N Jacob (200202_CR74) 2005 A P Prudnikov (200202_CR162) 1986 J Beran (200202_CR21) 2013 C A Monje (200202_CR133) 2010 T Kaczorek (200202_CR79) 2014 A V Pskhu (200202_CR163) 2005 D Baleanu (200202_CR19) 2015 B Rubin (200202_CR170) 1996 A A Kilbas (200202_CR83) 2004 R Almeida (200202_CR5) 2015 A M Mathai (200202_CR120) 1973 R Herrmann (200202_CR65) 2011 F Mainardi (200202_CR112) 2015 K Nishimoto (200202_CR137) 1987 H M Srivastava (200202_CR184) 1982 (200202_CR186) 1990 A M Nakhushev (200202_CR134) 2003 (200202_CR173) 1998 V V Uchaikin (200202_CR193) 1999 (200202_CR81) 2008 N Jacob (200202_CR73) 2002 A M Mathai (200202_CR122) 2009 V V Uchaikin (200202_CR190) 2008 (200202_CR52) 2014 A Lopes (200202_CR96) 2016; 18 Y Zhou (200202_CR213) 2016 A M Mathai (200202_CR121) 1978 H M Srivastava (200202_CR182) 1992 D Xue (200202_CR203) 2017 C Bucur (200202_CR28) 2016 S Westerlund (200202_CR201) 2002 K Namsrai (200202_CR135) 2016 A M Mathai (200202_CR119) 2008 F Mainardi (200202_CR111) 2010 H M Srivastava (200202_CR185) 2017 R Herrmann (200202_CR66) 2014 (200202_CR181) 2016 A Mathai (200202_CR118) 1997 (200202_CR86) 2011 H Sheng (200202_CR178) 2012 (200202_CR98) 2010 P Arena (200202_CR9) 2001 Y Zhou (200202_CR212) 2014 J A T Machado (200202_CR103) 2010; 13 T S Margulies (200202_CR116) 2014 A B Malinowska (200202_CR113) 2015 B Guo (200202_CR62) 2015 (200202_CR4) 2013 K B Oldham (200202_CR143) 1974 M Zubair (200202_CR214) 2012 (200202_CR109) 2009 B West (200202_CR198) 2003 T Kaczorek (200202_CR78) 2011 A B Malinowska (200202_CR114) 2012 V Daftardar-Gejji (200202_CR40) 2013 S Cohen (200202_CR36) 2013 S S Ray (200202_CR166) 2015 (200202_CR211) 2018 Z Jiao (200202_CR75) 2012 A C McBride (200202_CR124) 1979 A Oustaloup (200202_CR147) 1991 Y Povstenko (200202_CR159) 2015 (200202_CR172) 1995 T Margulies (200202_CR115) 2008 R Caponetto (200202_CR31) 2010 S Baer (200202_CR12) 2015 (200202_CR47) 2016 M Klimek (200202_CR89) 2009 T M Atanacković (200202_CR10) 2014 K Cao (200202_CR30) 2017 S Das (200202_CR44) 2011 J T Machado (200202_CR105) 2011; 16 (200202_CR169) 1974 S Abbas (200202_CR1) 2012 C Goodrich (200202_CR59) 2015 B B Paz (200202_CR154) 2003 M Fečkan (200202_CR53) 2017 C Li (200202_CR95) 2015 (200202_CR82) 2012 (200202_CR167) 2016 Y Hu (200202_CR69) 2005 A Oustaloup (200202_CR150) 1999 (200202_CR49) 2005 A Oustaloup (200202_CR146) 1983 M D Ortigueira (200202_CR144) 2011 E G Bajlekova (200202_CR13) 2001 B J West (200202_CR200) 2015 (200202_CR168) 2012 T Kaczorek (200202_CR77) 2009 J Cresson (200202_CR39) 2014 (200202_CR174) 2007 (200202_CR26) 2013 O Furdui (200202_CR56) 2013 S Cohen (200202_CR37) 2013 S B Yakubovich (200202_CR206) 1994 S Abbas (200202_CR2) 2014 O C Ibe (200202_CR70) 2013 (200202_CR132) 2013 S Umarov (200202_CR194) 2015 I N Sneddon (200202_CR179) 1966 A Oustaloup (200202_CR148) 1995 T M Atanacković (200202_CR11) 2014 F Padula (200202_CR151) 2015 A Oustaloup (200202_CR149) 2014 I N Sneddon (200202_CR180) 1979 (200202_CR16) 2001 (200202_CR34) 1997 A D Freed (200202_CR55) 2014 D Xue (200202_CR205) 2008 M M Dzherbashyan (200202_CR48) 1966 B J West (200202_CR199) 1999 (200202_CR35) 2016 H S Wio (200202_CR202) 2013 J Klafter (200202_CR87) 2011 K Nishimoto (200202_CR140) 1991 K Nishimoto (200202_CR139) 1991 (200202_CR88) 2008 M M Meerschaert (200202_CR126) 2011 R F Camargo (200202_CR29) 2015 (200202_CR123) 1998 F Ge (200202_CR57) 2017 Y A Brychkov (200202_CR27) 2009 (200202_CR68) 1990 R Gorenflo (200202_CR61) 1991 K Nishimoto (200202_CR141) 1996 G A Anastassiou (200202_CR7) 2015 G A Anastassiou (200202_CR6) 2009 R N Kalia (200202_CR80) 1993 C Pozrikidis (200202_CR161) 2016 M Caputo (200202_CR33) 1992 L Fawang (200202_CR51) 2015 (200202_CR23) 2017 I Podlubny (200202_CR158) 1999 V Uchaikin (200202_CR192) 2013 K Diethelm (200202_CR46) 2010 R Martínez-Guerra (200202_CR117) 2015 S Al-Azawi (200202_CR3) 2011 (200202_CR91) 2015 C Berzin (200202_CR22) 2014 N Jacob (200202_CR72) 2002 Y Povstenko (200202_CR160) 2015 K Nishimoto (200202_CR138) 1989 B Bandyopadhyay (200202_CR20) 2015 F Biagini (200202_CR24) 2008 (200202_CR63) 2010 G Jumarie (200202_CR76) 2014 R L Magin (200202_CR110) 2006 (200202_CR131) 2008 J Henderson (200202_CR64) 2016 V Lakshmikantham (200202_CR90) 2009 S Das (200202_CR43) 2008 S G Samko (200202_CR177) 1993 (200202_CR17) 2009 O G Bakunin (200202_CR14) 2008 Y Luo (200202_CR99) 2012 D Xue (200202_CR204) 2008 P Ostalczyk (200202_CR145) 2015 I Petráš (200202_CR155) 2009 M Couceiro (200202_CR38) 2016 R Gorenflo (200202_CR60) 2014 A A Kilbas (200202_CR84) 2006 C M Ionescu (200202_CR71) 2013 (200202_CR106) 2010 A K Gil’mutdinov (200202_CR58) 2017 J A T Machado (200202_CR100) 2016 V V Uchaikin (200202_CR191) 2012 D Baleanu (200202_CR15) 2012 (200202_CR127) 2005 V S Kiryakova (200202_CR85) 1994 (200202_CR41) 2014 V Méndez (200202_CR129) 2014 (200202_CR125) 1985 A L Méhauté (200202_CR128) 1998 K Biswas (200202_CR25) 2017 K S Miller (200202_CR130) 1993 M H Annaby (200202_CR8) 2012 I Petráš (200202_CR157) 2002 J T Machado (200202_CR102) 2014; 98 G M Zaslavsky (200202_CR210) 2008 J S Leszczynski (200202_CR92) 2011 (200202_CR42) 2014 X-J Yang (200202_CR208) 2012 J A T Machado (200202_CR104) 2010; 13 C A Tudor (200202_CR189) 2013 Y N Rabotnov (200202_CR164) 1977 I Nourdin (200202_CR142) 2012 R Hilfer (200202_CR67) 2000 D Valério (200202_CR195) 2012 J Paneva-Konovska (200202_CR153) 2016 J Machado (200202_CR107) 2015; 18 B Rubin (200202_CR171) 2015 J Wang (200202_CR197) 2017 V V Vasil’ev (200202_CR196) 2008 (200202_CR94) 2013 S G Samko (200202_CR176) 1987 A Freed (200202_CR54) 2002 C F Lorenzo (200202_CR97) 2016 X-J Yang (200202_CR207) 2011 |
| References_xml | – reference: SrivastavaH MBuschmanR GTheory and Applications of Convolution Integral Equations1992Boston, and LondonKluwer Series on Mathematics and Its Applications, Vol. 79. Kluwer Academic Publishers, Dordrecht0755.45002 – reference: CaponettoRDongolaGFortunaLPetrášIFractional Order Systems: Modeling and Control Applications2010SingaporeWorld Scientific – reference: PovstenkoYFractional Thermoelasticity2015Birkhäuser, ChamSolid Mechanics and Its Applications (Book 219).1316.74001 – reference: MéhautéA LMachadoJ A TTrigeassouJ CSabatierJFractional Differentiation and its Applications2005NeusässUbooks Verlag – reference: JacobNPseudo-Differential Operators and Markov Processes: Fourier Analysis and Semigroups (Vol. 1)2002SingaporeWorld Scientific Publishing Company – reference: LopesAMachadoJ TGalhanoAEmpirical laws and foreseeing the future of technological progressEntropy20161862173530040 – reference: MaginR LFractional Calculus in Bioengineering2006Redding, CTBegell House Inc. – reference: XueDChenYAthertonD PLinear Feedback Control: Analysis and Design with MATLAB2008PhiladelphiaSociety for Industrial Mathematics1143.93002 – reference: LetnikovA VChernykhV AThe Foundations of Fractional Calculus2011MoscowNeftegaz – reference: RabotnovY NElements of Hereditary Solids Mechanics1977MoscowNauka – reference: Vasil’evV VSimakL AFractional Calculus and Approximation Methods in Modelling of Dynamic Systems2008KievN.A.S. (Nat. Acad. Sci.) of Ukraine, Academic Press – reference: CohenSIstasJFractional Fields and Applications2013Springer, HeidelbergMathématiques et Applications.1279.60006 – reference: BaleanuDMachadoJ A TGüvençZ BNew Trends in Nanotechnology and Fractional Calculus Applications2009DordrechtSpringer – reference: IonescuC MThe Human Respiratory System: An Analysis of the Interplay between Anatomy, Structure, Breathing and Fractal Dynamics2013Springer, LondonBioEngineering.1273.92016 – reference: NishimotoKAn Essence of Nishimoto’s Fractional Calculus (Calculus of the 21st Century), Integrals and Differentiations of Arbitrary Order1991KoriyamaDescartes Press0798.26007 – reference: KaczorekTSelected Problems of Fractional Systems Theory2011Springer, Berlin HeidelbergLecture Notes in Control and Information Sciences (Volume 411).1221.93002 – reference: MachadoJ A TKiryakovaVMainardiFA poster about the recent history of fractional calculusFractional Calculus and Applied Analysis201013332933427613571221.26013 – reference: LiCZengFNumerical Methods for Fractional Calculus2015Boca RatonLecture Notes in Electrical Engineering. Chapman and Hall/CRC1326.65033 – reference: DaouR A ZMoreauXFractional Calculus: Applications2014Nova Science PublishersMathematics Research Developments. – reference: RaoB L S PStatistical Inference for Fractional Diffusion Processes2010Wiley, ChichesterWiley Series in Probability and Statistics.1211.62143 – reference: BiaginiFHuYØksendalBZhangTStochastic Calculus for Fractional Brownian Motion and Applications2008Springer-Verlag, LondonProbability and Its Applications.1157.60002 – reference: KlafterJSokolovI MFirst Steps in Random Walks: From Tools to Applications2011OxfordOxford University Press1242.60046 – reference: GuoBPuXHuangFFractional Partial Differential Equations and Their Numerical Solutions2015SingaporeWorld Scientific Publishing Company1335.35001 – reference: BakuninO GTurbulence and Diffusion: Scaling Versus Equations2008Springer-Verlag, Berlin, HeidelbergSpringer Series in Synergetics.1172.76001 – reference: TasKMachadoJ A TBaleanuDMathematical Methods in Engineering2007DordrechtSpringer – reference: MachadoJMainardiFKiryakovaVFractional calculus: Quo Vadimus? (Where are we going?) (Contributions to round table discussion held at ICFDA 2014)Fractional Calculus and Applied Analysis201518249552633239141309.26011 – reference: BandyopadhyayBKamalSStabilization and Control of Fractional Order Systems: A Sliding Mode Approach2015Springer, ChamLecture Notes in Electrical Engineering.1307.93001 – reference: FawangLPinghuiZQingxiaLNumerical Methods for Partial Differential Equations and Their Applications2015ChinaScience Press – reference: MachadoJ TGalhanoA MTrujilloJ JOn development of fractional calculus during the last fifty yearsScientometrics2014981577582 – reference: SrivastavaH MShigeyoshiOUnivalent Functions, Fractional Calculus and Their Applications1990ChichesterEllis Horwood Ltd – reference: UchaikinV VZolotarevV MChance and Stability. Stable Distributions and their Applications1999UtrechtSeries Modern Probability and Statistics, No 3. VSP0944.60006 – reference: Al-AzawiSSome Results in Fractional Calculus2011Publ.LAP Lambert Acad. – reference: AbbasSBenchohraMN’GuérékataG MAdvanced Fractional Differential and Integral Equations2014Nova Science PublishersMathematics Research Developments.1314.34002 – reference: NishimotoKFractional Calculus, Vol. 51996KoriyamaDescartes Press0911.26004 – reference: MachadoJ A TKiryakovaVMainardiFA poster about the old history of fractional calculusFractional Calculus and Applied Analysis201013444745427992921222.26015 – reference: KiryakovaV SGeneralized Fractional Calculus and Applications1994New YorkPitman Research Notes in Mathematics, Vol. 301. Longman Sci. Tech. & J. Wiley0882.26003 – reference: HerrmannRFractional Calculus: An Introduction for Physicists2011SingaporeWorld Scientific Publishing Company1232.26006 – reference: ArenaPCaponettoRPortoL F MNonlinear Noninteger Order Systems: Theory and Applications2001SingaporeNonlinear Science. World Scientific Publishing Company0966.93006 – reference: BajlekovaE GFractional Evolution Equations in Banach Spaces2001NetherlandsPhD thesis, Univ. Press, Eindhoven Univ. of Technology0989.34002 – reference: OrtigueiraM DFractional Calculus for Scientists and Engineers2011Springer, Dordrecht, HeidelbergLecture Notes in Electrical Engineering.1251.26005 – reference: CaputoMElasticitá e Dissipazione1969BolognaZanichelli – reference: DasSFunctional Fractional Calculus: For System Identification and Controls2008HeidelbergSpringer-Verlag, Berlin1154.26007 – reference: PanIDasSIntelligent Fractional Order Systems and Control: An Introduction2013Springer, HeidelbergStudies in Computational Intelligence 438.1250.93004 – reference: FurduiOLimits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis2013Springer, New YorkProblem Books in Mathematics.1279.26017 – reference: MathaiA MSaxenaR KThe H-function with Applications in Statistics and Other Disciplines1978New DelhiWiley Eastern Ltd0382.33001 – reference: CouceiroMGhamisiPFractional Order Darwinian Particle Swarm Optimization: Applications and Evaluation of an Evolutionary Algorithm2016Springer, ChamSpringerBriefs in Applied Sciences and Technology.1325.68003 – reference: OustaloupALa Commande CRONE: Commande Robuste d’Ordre Non Entier1991ParisHermès0864.93003 – reference: MathaiA MSaxenaR KGeneralized Hypergeometric Functions with Applications in Statistics and Physical Sciences1973Springer, HeidelbergLecture Notes in Mathematics.0272.33001 – reference: Martínez-GuerraRPérez-PinachoC AGómez-CortésG CSynchronization of Integral and Fractional Order Chaotic Systems: A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time2015Springer, ChamUnderstanding Complex Systems.1309.70002 – reference: MachadoJ A TGalhanoA MLopesA MValérioDSolved Problems in Dynamical Systems and Control2016UKIET - The Institution of Engineering and Technology, Stevenage1354.00006 – reference: OustaloupADiversity and Non-integer Differentiation for System Dynamics2014CroydonWiley-ISTE1294.93001 – reference: HauboldH JMathaiA MProceedings of the Third UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and Basic Space Science: National Astronomical Observatory of Japan (Astrophysics and Space Science Proceedings)2010BerlinSpringer1202.85005 – reference: KaliaR NRecent Advances in Fractional Calculus1993MinnesotaGlobal Research Notes in Mathematics Ser. Global Pub. Co0782.00074 – reference: NourdinISelected Aspects of Fractional Brownian Motion2012Springer, MilanoBocconi & Springer Series.1274.60006 – reference: MonjeC AChenYVinagreB MXueDFeliuVFractional-order Systems and Controls2010Springer, LondonSeries Advances in Industrial Control.1211.93002 – reference: PetrášIFractional-Order Nonlinear Systems: Modeling, Analysis and Simulation2011Springer, HeidelbergSeries Nonlinear Physical Science.1228.34002 – reference: KlagesRRadonsGSokolovI MAnomalous Transport: Foundations and Applications2008GermanyWiley-VCH – reference: WestB JPhysiology, Promiscuity, and Prophecy at the Millennium: A Tale of Tails1999SingaporeStudies of Nonlinear Phenomena in Life Sciences, Vol. 8. World Scientific Publishing Company1016.00011 – reference: AtanackovićT MPilipovićSStankovićBZoricaDFractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes2014CroydonMechanical Engineering and Solid Mechanics. Wiley-ISTE1291.74001 – reference: FreedA DSoft Solids: A Primer to the Theoretical Mechanics of Materials2014ChamModeling and Simulation in Science, Engineering and Technology. Birkhäuser1296.74002 – reference: WioH SPath Integrals for Stochastic Processes: An Introduction2013SingaporeWorld Scientific Publishing Company1314.60005 – reference: RusevPDimovskiIKiryakovaVTransform Methods & Special Functions, Varna’96 (Proc. 2nd International Workshop, with special session on FC and “Open Problems in FC” Round Table)1998SofiaInstitute of Mathematics and Informatics (IMI - BAS) – reference: DzherbashyanM MIntegral Transforms and Representations of Functions in Complex Domain (In Russian)1966MoscowNauka – reference: RubinBIntroduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis2015New YorkEncyclopedia of Mathematics and its Applications. Cambridge University Press1333.44002 – reference: TudorC AAnalysis of Variations for Self-similar Processes: A Stochastic Calculus Approach2013Springer, ChamProbability and Its Applications.1308.60004 – reference: SrivastavaH MRainaR KYangX-JSpecial Functions in Fractional Calculus and Related Fractional Differential Equations2017SingaporeWorld Scientific Publ. Co – reference: BucurCValdinociENonlocal Diffusion and Applications2016Springer, SwitzerlandLecture Notes of the Unione Matematica Italiana.1377.35002 – reference: MéndezVCamposDBartumeusFAnomalous Diffusion, Front Propagation and Random Searches2014SpringerStochastic Foundations in Movement Ecology.1295.92010 – reference: LakshmikanthamVLeelaSDeviJ VTheory of Fractional Dynamic Systems2009CambridgeCambridge Scientific Publishers1188.37002 – reference: MachadoJ TGalhanoA MTrujilloJ JScience metrics on fractional calculus development since 1966Fractional Calculus and Applied Analysis201316247950030337011312.26004 – reference: Daftardar-GejjiVFractional Calculus: Theory and Applications20131288.65184 – reference: PskhuA VPartial Differential Equations of Fractional Order2005MoscowNauka1193.35245 – reference: SneddonI NMixed Boundary Value Problems in Potential Theory1966AmsterdamNorth Holland0139.28801 – reference: CattaniCSrivastavaH MYangX-JFractional Dynamics2016De Gruyter OpenLecture Notes of the Unione Matematica Italiana (Book 20). – reference: HerrmannRFractional Calculus: An Introduction for Physicists20142SingaporeWorld Scientific Publishing Company1293.26001 – reference: MathaiAJacobians of Matrix Transformations and Functions of Matrix Argument1997New YorkPitman Monographs and Surveys in Pure and Applied Mathematics, vol. 82. World Scientific Publishing0889.33001 – reference: PazB Bdel CastilloJ J T JKilbasA ACalculo Fraccionario y Ecuaciones Diferenciales Fraccionarias2003MadridUniversidad Nacional de Educación a Distancia, UNED, Ediciones – reference: UchaikinV VMethod of Fractional Derivatives2008UlyanovskArtishok-Press – reference: UchaikinV VFractional Derivatives for Physicists and Engineers. Vol. I: Background and Theory. Vol. II: Applications2012HeidelbergNonlinear Physical Science. Springer and Higher Education Press – reference: MachadoJ TPatkáiBRudasI JIntelligent Engineering Systems and Computational Cybernetics2009New YorkSpringer – reference: DaouR A ZMoreauXFractional Calculus: Theory2014Nova Science PublishersMathematics Research Developments. – reference: KilbasARogosinSAnalytic Methods of Analysis and Differential Equations: AMADE-20062008CambridgeCambridge Scientific Publishers1188.34002 – reference: KilbasA ASaigoMH-Transforms: Theory and Applications2004Boca RatonSeries on Analytic Methods and Special Functions, Vol. 9. CRC Press1056.44001 – reference: MéhautéA LNigmatullinR RNivanenLFlèches du temps et géométrie fractale1998ParisHermès0906.58026 – reference: PrudnikovA PBrychkovY AMarichevO IIntegrals and Series, Vol. 3: More Special Functions1986Moscow, AmsterdamGordon and Breach Sci. Publ. (In English)0733.00004 – reference: RusevPDimovskiIKiryakovaVTransform Methods & Special Functions, Sofia’1994 (Proc. 1st Intern. Workshop, with Special session on FC)1995SingaporeScience Culture Technology Publishing (SCTP) – reference: SabatierJLanussePMelchiorPOustaloupAFractional Order Differentiation and Robust Control Design: CRONE, H-infinity and Motion Control2015Springer, DordrechtIntelligent Systems, Control and Automation: Science and Engineering.1320.93005 – reference: XueDChenYSolving Applied Mathematical Problems with MATLAB2008Boca RatonChapman & Hall/CRC Press1156.00013 – reference: ZubairMMughalM JNaqviQ AElectromagnetic Fields and Waves in Fractional Dimensional Space2012Springer, HeidelbergSpringerBriefs in Applied Sciences and Technology.1244.78001 – reference: SamkoS GKilbasA AMarichevO IFractional Integrals and Derivatives: Theory and Applications19930818.26003 – reference: GeFChenYKouCRegional Analysis of Time-Fractional Order Diffusion Processes2017LondonSpringer1417.93069 – reference: OstalczykPDiscrete Fractional Calculus: Applications in Control and Image Processing2015SingaporeComputer Vision: Volume 4. World Scientific Publishing Company1354.93003 – reference: MarguliesT SFlows, Energetics, and Waves: Mathematical Applications: Physical Sciences and Engineering Analysis2014 – reference: KaczorekTWybrane zagadnienia teorii układów niecałkowitych rzȩdów (in Polish)2009PolandOficyna wydawnicza Politechniki Białostockiej, Białystok – reference: BaleanuDMustafaO GAsymptotic Integration and Stability: For Ordinary, Functional and Discrete Differential Equations of Fractional Order2015SingaporeSeries on Complexity, Nonlinearity and Chaos. World Scientific Publishing Company1326.34011 – reference: HongoTNishimotoKFractional Calculus and Its Applications (Proc. of International Conference held in Nihon University, Tokyo 1989)1990 – reference: CarpinteriAMainardiFFractals and Fractional Calculus in Continuum Mechanics (CISM International Centre for Mechanical Sciences)1997WienSpringer – reference: DiethelmKThe Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type2010Springer, HeidelbergLecture Notes in Mathematics.1215.34001 – reference: JumarieGFractional Differential Calculus for Non-differentiable Functions: Mechanics, Geometry, Stochastics, Information Theory2014 – reference: FallahgoulHFocardiS MFabozziFFractional Calculus and Fractional Processes with Applications to Financial Economics2016LondonSpringerBriefs in Applied Sciences and Technology. Academic Press1381.60001 – reference: HilferRApplications of Fractional Calculus in Physics2000SingaporeWorld Scientific Publishing Company0998.26002 – reference: RayS SFractional Calculus with Applications for Nuclear Reactor Dynamics2015Boca RatonCRC Press – reference: HuYIntegral Transformations and Anticipative Calculus for Fractional Brownian Motions2005American Mathematical SocietyMemoirs of the American Mathematical Society.1072.60044 – reference: McBrideA CFractional Calculus and Integral Transforms of Generalized Functions1979San FranciscoPitman Press0423.46029 – reference: SrivastavaH MGuptaKGoyalSThe H-Functions of One and Two Variables with Applications1982New Delhi and MadrasSouth Asian Publishers0506.33007 – reference: AbbasSBenchohraMN’GuérékataG MTopics in Fractional Differential Equations2012New YorkDevelopments in Mathematics, Vol. 27. Springer10.1007/978-1-4614-4036-9 – reference: OustaloupAMathieuBLa commande CRONE: du scalaire au multivariable1999ParisHermès Science0936.93004 – reference: KlimekMOn Solutions of Linear Fractional Differential Equations of a Variational Type2009PolandCzestochowa University of Technology, Czestochowa – reference: BaerSEnsslinKTransport Spectroscopy of Confined Fractional Quantum Hall Systems2015Springer, ChamSpringer Series in Solid-State Sciences. – reference: PodlubnyIFractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution, Mathematics in Science and Engineering1999San DiegoAcademic Press0924.34008 – reference: OustaloupALa Dérivation Non Entière. Théorie, Synthèse et Applications1995ParisHermès Science0864.93004 – reference: MatignonDMontsenyGSystèmes Différentiels Fractionnaires. Modèles, Méthodes & Applications (Journées Thématiques, ENST, Paris, Dec. 1998)1998ParisESAIM Proc.0907.00032 – reference: NishimotoKFractional Calculus, Vol. 41991KoriyamaDescartes Press – reference: MachadoJ A TMainardiFKiryakovaVAtanackovićTFractional calculus: D’où venons-nous? Que sommes-nous? Où allons-nous? (Contributions to round table discussion held at ICFDA 2016)Fractional Calculus and Applied Analysis20161951074110435710041351.26017 – reference: NishimotoKFractional Calculus, Vol. 11984KoriyamaDescartes Press – reference: MachadoJ TKiryakovaVMainardiFRecent history of fractional calculusCommunications in Nonlinear Science and Numerical Simulations20111631140115327366221221.26002 – reference: MachadoJ A TLuoA C JBarbosaR SSilvaM SFigueiredoL BNonlinear Science and Complexity2010DordrechtSpringer – reference: PovstenkoYLinear Fractional Diffusion-Wave Equation for Scientists and Engineers2015ChamBirkhäuser1331.35004 – reference: TarasovV EFractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media2011Springer, Beijing, HeidelbergNonlinear Physical Science. – reference: AnnabyM HMansourZ Sq-Fractional Calculus and Equations2012HeidelbergLecture Notes in Mathematics, Vol. 2056. Springer1267.26001 – reference: LuoYChenYFractional Order Motion Controls2012New YorkJohn Wiley & Sons – reference: ZhouYBasic Theory of Fractional Differential Equations2014SingaporeWorld Scientific Publishing Company1336.34001 – reference: MishuraYAnomalous Transport: Foundations and Applications2008Springer, Berlin, HeidelbergLecture Notes in Mathematics. – reference: PozrikidisCThe Fractional Laplacian2016Boca RatonCRC Press1351.26001 – reference: SamkoS GKilbasA AMarichevO IFractional Integrals and Derivatives: Theory and Applications1987Minsknewblock Nauka i Tekhnika0617.26004 – reference: AlmeidaACastroL FSpeckF-OAdvances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume2013BaselOperator Theory: Advances and Applications. Birkhäuser – reference: GorenfloRKilbasA AMainardiFRogosinS VMittag-Leffler Functions, Related Topics and Applications2014Berlin HeidelbergSpringer Monographs in Mathematics. Springer-Verlag1309.33001 – reference: Paneva-KonovskaJFrom Bessel to Multi-Index Mittag Leffler Functions: Enumerable Families, Series in them and Convergence2016Co, LondonWorld Scientific Publ.1353.33001 – reference: LeszczynskiJ SAn Introduction to Fractional Mechanics2011CzestochowaCzestochowa University of Technology1276.34065 – reference: McBrideA CRoachG FFractional Calculus (Proc. of International Conference held in Ross Priory - University of Strathclyde, Scotland, August 1984)1985LondonResearch Notes in Mathematics No. 138. Pitman – reference: WesterlundSDead Matter has Memory!2002Kalmar, SwedenCausal Consulting – reference: WestBBolognaMGrigoliniPPhysics of Fractal Operators2003New YorkSpringer – reference: MathaiA MHauboldH JSpecial Functions for Applied Scientists2008New YorkSpringer1151.33001 – reference: SrivastavaH MKashyapB R KSpecial Functions in Queuing Theory and Related Stochastic Processes1982New YorkAcademic Press0492.60089 – reference: NishimotoKFractional Calculus, Vol. 21987KoriyamaDescartes Press – reference: RogosinS VKorolevaA AAdvances in Applied Analysis2012BaselTrends in Mathematics. Birkhäuser – reference: ShengHChenYQiuTFractional Processes and Fractional-Order Signal Processing: Techniques and Applications2012Springer, LondonSignals and Communication Technology.1245.94004 – reference: DomekSDworakPTheoretical Developments and Applications of Non-Integer Order Systems: 7th Conference on Non-Integer Order Calculus and Its Applications, Szczecin, Poland2016Springer, ChamLecture Notes in Electrical Engineering (Book 357).1320.93006 – reference: RogosinS VDubatovskayaMAnalytic Methods of Analysis and Differential Equations: AMADE-20152016 – reference: AlmeidaRPoosehSTorresD FComputational Methods in the Fractional Calculus of Variations2015LondonImperial College Press1322.49001 – reference: LatawiecK JŁukaniszynMStanislawskiRAdvances in Modelling and Control of Non-integer-Order Systems: 6th Conference on Non-integer Order Calculus and Its Applications, 2014 Opole, Poland2015Springer, ChamLecture Notes in Electrical Engineering, Vol. 320.1296.00057 – reference: ZayernouriMHesthavemJKarniadakisG ESpectral Methods for Fractional PDEs2018 – reference: BrediesKClasonCKunischKWinckelGControl and Optimization with PDE Constraints2013Birkhäuser, BaselInternational Series of Numerical Mathematics. – reference: BrychkovY AHandbook of Special Functions. Derivatives, Integrals, Series and Other Formulas2009Boca RatonChapman and Hall/ CRC1158.33001 – reference: WestB JFractional Calculus View of Complexity: Tomorrow’s Science2015Boca RatonCRC Press1330.00030 – reference: NishimotoKFractional Calculus, Vol. 31989KoriyamaDescartes Press – reference: MainardiFFractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models20152SingaporeWorld Scientific Publishing Company1210.26004 – reference: MalinowskaA BOdzijewiczTTorresD FAdvanced Methods in the Fractional Calculus of Variations2015Springer, ChamSpringerBriefs in Applied Sciences and Technology.1330.49001 – reference: OldhamK BSpanierJThe Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order1974New YorkAcademic Press0292.26011 – reference: CaputoMLectures on Seismology and Rheological Tectonics1992RomaLecture Notes. Universitá La Sapienza, Dipartimento di Fisica – reference: FečkanMWangJPospíšilMFractional Order Equations and Inclusions201706766387 – reference: YakubovichS BLuchkoY FThe Hypergeometric Approach to Integral Transforms and Convolutions1994Boston, LondonSer. Mathematics and Its Applications, Vol. 287. Kluwer Academic Publishers, Dordrecht0803.44001 – reference: AnastassiouG AArgyrosI KIntelligent Numerical Methods: Applications to Fractional Calculus2015Springer, ChamStudies in Computational Intelligence.1354.65003 – reference: BaleanuDMachadoJ A TLuoA C JFractional Dynamics and Control2011New YorkSpringer1264.26007 – reference: KaczorekTSajewskiLThe Realization Problem for Positive and Fractional Systems2014Springer, ChamStudies in Systems, Decision and Control 1.1297.93002 – reference: PetrášIPodlubnyIO’LearyPDorcakLVinagreBAnalogue Realization of Fractional Order Controllers2002Košice, SlovakiaFBERG, Technical University of Košice1041.93022 – reference: YangX-JAdvanced Local Fractional Calculus and Its Applications2012New YorkWorld Science Publisher – reference: BerzinCLatourALeónJ RInference on the Hurst Parameter and the Variance of Diffusions Driven by Fractional Brownian Motion2014Berlin HeidelbergLecture Notes in Statistics (Volume 216). Springer-Verlag1341.62004 – reference: YangX JBaleanuDSrivastavaH MLocal Fractional Integral Transforms and Their Applications2015LondonAcademic Press1336.44001 – reference: JiaoZChenYPodlubnyIDistributed-Order Dynamic Systems: Stability, Simulation, Applications and Perspectives20121401.93005 – reference: WangJFečkanMFractional Hermite-Hadamard Inequalities20171416.26002 – reference: PetrášIFractional-order Chaotic Systems2009Košice, SlovakiaFBERG, Technical University of Košice1182.26017 – reference: ZhouYFractional Evolution Equations and Inclusions: Analysis and Control2016AmsterdamAcademic Press1343.34001 – reference: ElmenreichWMachadoJ A TRudasI JIntelligent Systems at the Service of Mankind - Vol. 22005NeusässUbooks Verlag – reference: SpasićD TGrahovacNŽigićMRapaićMAtanackovićT MInternational Conference on Fractional Differentiation and Applications2016SerbiaNovi Sad – reference: FreedADiethelmKLuchkoYFractional-order viscoelasticity (FOV): Constitutive development using the fractional calculus: First annual report2002Brook Rark, OhioNASA/TM 2002-211914, NASA’s Glenn Research Center – reference: BhalekarSFrontiers in Fractional Calculus20171404.34001 – reference: KilbasA ARogosinS VAnalytic Methods of Analysis and Differential Equations: AMADE 20092012CambridgeCambridge Scientific Publishers – reference: KlafterJLimS CMetzlerRFractional Dynamics: Recent Advances2011SingaporeWorld Scientific Publishing Company1238.93005 – reference: NamsraiKUniversal Formulas in Integral and Fractional Differential Calculus2016SingaporeWorld Scientific Publishing Company1371.26001 – reference: BaleanuDMachadoJ A TGuvençZ BNew Trends in Nanotechnology and Fractional Calculus Applications2001DordrechtSpringer – reference: MathaiA MSaxenaR KHauboldH JThe H-Function: Theory and Applications2009New YorkSpringer1181.33001 – reference: SabatierJAgrawalO PMachadoJ A TAdvances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering2007DordrechtSpringer1116.00014 – reference: UchaikinVSibatovRFractional Kinetics in Solids: Anomalous Charge Transport in Semiconductors, Dielectrics and Nanosystems2013SingaporeWorld Scientific Publishing Company1277.82006 – reference: JacobNPseudo Differential Operators & Markov Processes: Markov Processes and Applications (Vol. 3)2005LondonImperial College Press1076.60003 – reference: ZaslavskyG MHamiltonian Chaos and Fractional Dynamics2008OxfordOxford University Press1152.37001 – reference: MillerK SRossBAn Introduction to the Fractional Calculus and Fractional Differential Equations1993New YorkJohn Wiley and Sons0789.26002 – reference: CressonJFractional Calculus in Analysis, Dynamics & Optimal Control2014Nova Science PublishersMathematics Research Developments. – reference: DasSFunctional Fractional Calculus20112Berlin HeidelbergSpringer1225.26007 – reference: KilbasA ASrivastavaH MTrujilloJ JTheory and Applications of Fractional Differential Equations2006AmsterdamNorth-Holland Mathematics Studies, Elsevier1092.45003 – reference: RossBFractional Calculus and Its Applications, Proceedings of the International Conference, New Haven University, New Haven1974New YorkSpringer-Verlag – reference: DasSPanIFractional Order Signal Processing: Introductory Concepts and Applications2012Springer, HeidelbergSpringerBriefs in Applied Sciences and Technology.1237.94016 – reference: PadulaFVisioliAAdvances in Robust Fractional Control2015ChamSpringer1417.93022 – reference: BiswasKBohannanGCaponettoRLopesAMachadoTFractional Order Devices2017 – reference: MitkowskiWKacprzykJBaranowskiJAdvances in the Theory and Applications of Non-integer Order Systems: 5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Poland2013Springer, ChamLecture Notes in Electrical Engineering.1271.93002 – reference: BeranJFengYGhoshSKulikRLong-Memory Processes: Probabilistic Properties and Statistical Methods2013Springer, HeidelbergStatistical Theory and Methods.1282.62187 – reference: BaleanuDDiethelmKScalasETrujilloJ JFractional Calculus: Models and Numerical Methods2012SingaporeSeries on Complexity, Nonlinearity and Chaos: Volume 3. World Scientific Publishing Company1248.26011 – reference: CohenSKuznetsovAKyprianouARiveroVLévy Matters II. Recent Progress in Theory and Applications: Fractional Lévy Fields, and Scale Function2013Springer, BerlinLecture Notes in Mathematics.1252.60001 – reference: LorenzoC FHartleyT TThe Fractional Trigonometry: With Applications to Fractional Differential Equations and Science20161375.26003 – reference: NakhushevA MFractional Calculus and its Applications2003MoscowFizmatlit1066.26005 – reference: IbeO CElements of Random Walk and Diffusion Processes2013Wiley, HobokenWiley Series in Operations Research and Management Science.1294.60002 – reference: AnastassiouG AFractional Differentiation Inequalities2009HeidelbergSpringer, New York1181.26001 – reference: ValérioDda CostaJ SAn Introduction to Fractional Control2012IET, StevenageControl Engineering.1316.49005 – reference: LiCWuYYeRRecent Advances in Applied Nonlinear Dynamics with Numerical Analysis: Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations2013SingaporeInternational Series of Numerical Mathematics. World Scientific Publishing Company1261.65005 – reference: SneddonI NThe Use of Operators of Fractional Integration in Applied Mathematics1979Warszawa-PoznanAppl. Math. Series. PWN-Polish Scientific Publishers0556.44001 – reference: CamargoR Fde OliveiraE CCálculo Fracionário (in Portuguese)2015BrazilEditora Livraria da Física – reference: OustaloupASystèmes asservis linéaires d’ordre fractionnaire: Théorie et pratique1983Masson, ParisSerie Automatique. – reference: XueDFractional-Order Control Systems: Fundamentals and Numerical Solutions20171406.33001 – reference: FerreiraN M FMachadoJ A TMathematical Methods in Engineering2014DordrechtSpringer – reference: MainardiFFractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models2010LondonImperial College Press1210.26004 – reference: MarguliesTMathematics and Science Applications and Frontiers: with Fractional Calculus2008USAXlibris Corporation – reference: RubinBFractional Integrals and Potentials1996HarlowPitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 82. Longman Sci. Techn. / CRC0864.26004 – reference: CaoKChenYFractional Order Crowd Dynamics: Cyber-Human System Modeling and Control20171415.91001 – reference: UmarovSIntroduction to Fractional and Pseudo-Differential Equations with Singular Symbols2015Springer, ChamDevelopments in Mathematics (Vol. 41).1331.35005 – reference: HendersonJLucaRBoundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions2016AmsterdamElsevier1353.34002 – reference: AtanackovićT MPilipovićSStankovićBZoricaDFractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles2014CroydonMechanical Engineering and Solid Mechanics. Wiley-ISTE1293.74001 – reference: JacobNPseudo Differential Operators & Markov Processes: Generators and Their Potential Theory (Vol. 2)2002SingaporeWorld Scientific Publishing Company1005.60004 – reference: MalinowskaA BTorresD F MIntroduction to the Fractional Calculus of Variations2012SingaporeImperial College Press1258.49001 – reference: LuoA C JAfraimovichV SLong-range Interaction, Stochasticity and Fractional Dynamics - Dedication to George M. Zaslavsky (1935-2008)2010Beijing and DordrechtHigher Education Press and Springer1209.70002 – reference: YangX-JLocal Fractional Functional Analysis and Its Applications2011Hong KongAsian Academic Publisher Limited – reference: MeerschaertM MSikorskiiAStochastic Models for Fractional Calculus2011Berlinde Gruyter Studies in Mathematics. Walter de Gruyter & Co1247.60003 – reference: GoodrichCPetersonA CDiscrete Fractional Calculus2015ChamSpringer1350.39001 – reference: Gil’mutdinovA KUshakovP AKhazaliR EFractal Elements and their Applications2017SpringerAnalog Circuits and Signal Processing.1402.94001 – reference: GorenfloRVessellaSAbel Integral Equations: Analysis and Applications1991Springer, BerlinLecture Notes in Mathematics, Vol. 1461.0717.45002 – volume-title: Numerical Methods for Partial Differential Equations and Their Applications year: 2015 ident: 200202_CR51 – volume-title: Fractional Order Signal Processing: Introductory Concepts and Applications year: 2012 ident: 200202_CR45 doi: 10.1007/978-3-642-23117-9 – volume-title: On Solutions of Linear Fractional Differential Equations of a Variational Type year: 2009 ident: 200202_CR89 – volume-title: Linear Feedback Control: Analysis and Design with MATLAB year: 2008 ident: 200202_CR205 – volume-title: La Commande CRONE: Commande Robuste d’Ordre Non Entier year: 1991 ident: 200202_CR147 – volume-title: Fractional Differentiation Inequalities year: 2009 ident: 200202_CR6 doi: 10.1007/978-0-387-98128-4 – volume-title: The Foundations of Fractional Calculus year: 2011 ident: 200202_CR93 – volume-title: Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis year: 2013 ident: 200202_CR56 doi: 10.1007/978-1-4614-6762-5 – volume-title: Fractional Calculus for Scientists and Engineers year: 2011 ident: 200202_CR144 doi: 10.1007/978-94-007-0747-4 – volume-title: Proceedings of the Third UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and Basic Space Science: National Astronomical Observatory of Japan (Astrophysics and Space Science Proceedings) year: 2010 ident: 200202_CR63 – volume-title: Analysis of Variations for Self-similar Processes: A Stochastic Calculus Approach year: 2013 ident: 200202_CR189 doi: 10.1007/978-3-319-00936-0 – volume-title: Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes year: 2014 ident: 200202_CR10 – volume-title: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols year: 2015 ident: 200202_CR194 doi: 10.1007/978-3-319-20771-1 – volume-title: Path Integrals for Stochastic Processes: An Introduction year: 2013 ident: 200202_CR202 doi: 10.1142/8695 – volume-title: Selected Aspects of Fractional Brownian Motion year: 2012 ident: 200202_CR142 doi: 10.1007/978-88-470-2823-4 – volume-title: Recent Advances in Fractional Calculus year: 1993 ident: 200202_CR80 – volume-title: Cálculo Fracionário (in Portuguese) year: 2015 ident: 200202_CR29 – volume-title: Fractional Dynamics year: 2016 ident: 200202_CR35 – volume-title: Mathematical Methods in Engineering year: 2007 ident: 200202_CR188 – volume-title: q-Fractional Calculus and Equations year: 2012 ident: 200202_CR8 doi: 10.1007/978-3-642-30898-7 – volume-title: Fractional Calculus: Theory and Applications year: 2013 ident: 200202_CR40 – volume-title: Numerical Methods for Fractional Calculus year: 2015 ident: 200202_CR95 doi: 10.1201/b18503 – volume-title: Advanced Methods in the Fractional Calculus of Variations year: 2015 ident: 200202_CR113 doi: 10.1007/978-3-319-14756-7 – volume-title: Handbook of Special Functions. Derivatives, Integrals, Series and Other Formulas year: 2009 ident: 200202_CR27 – volume: 18 start-page: 495 issue: 2 year: 2015 ident: 200202_CR107 publication-title: Fractional Calculus and Applied Analysis doi: 10.1515/fca-2015-0031 – volume-title: Fractional Calculus, Vol. 1 year: 1984 ident: 200202_CR136 – volume-title: Turbulence and Diffusion: Scaling Versus Equations year: 2008 ident: 200202_CR14 – volume-title: Fractional-order viscoelasticity (FOV): Constitutive development using the fractional calculus: First annual report year: 2002 ident: 200202_CR54 – volume-title: Fractional Evolution Equations in Banach Spaces year: 2001 ident: 200202_CR13 – volume-title: Electromagnetic Fields and Waves in Fractional Dimensional Space year: 2012 ident: 200202_CR214 doi: 10.1007/978-3-642-25358-4 – volume-title: Calculo Fraccionario y Ecuaciones Diferenciales Fraccionarias year: 2003 ident: 200202_CR154 – volume-title: Spectral Methods for Fractional PDEs year: 2018 ident: 200202_CR211 – volume-title: Fractional-order Systems and Controls year: 2010 ident: 200202_CR133 doi: 10.1007/978-1-84996-335-0 – volume-title: Theoretical Developments and Applications of Non-Integer Order Systems: 7th Conference on Non-Integer Order Calculus and Its Applications, Szczecin, Poland year: 2016 ident: 200202_CR47 – volume-title: Applications of Fractional Calculus in Physics year: 2000 ident: 200202_CR67 doi: 10.1142/3779 – volume-title: Flèches du temps et géométrie fractale year: 1998 ident: 200202_CR128 – volume-title: The H-Function: Theory and Applications year: 2009 ident: 200202_CR122 – volume-title: Anomalous Transport: Foundations and Applications year: 2008 ident: 200202_CR88 – volume-title: Solving Applied Mathematical Problems with MATLAB year: 2008 ident: 200202_CR204 doi: 10.1201/b17177 – volume-title: Fractal Elements and their Applications year: 2017 ident: 200202_CR58 doi: 10.1007/978-3-319-45249-4 – volume-title: Fractional Integrals and Potentials year: 1996 ident: 200202_CR170 – volume-title: The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order year: 1974 ident: 200202_CR143 – volume-title: Systèmes asservis linéaires d’ordre fractionnaire: Théorie et pratique year: 1983 ident: 200202_CR146 – volume-title: Anomalous Transport: Foundations and Applications year: 2008 ident: 200202_CR131 – volume-title: Some Results in Fractional Calculus year: 2011 ident: 200202_CR3 – volume-title: The H-function with Applications in Statistics and Other Disciplines year: 1978 ident: 200202_CR121 – volume-title: An Introduction to the Fractional Calculus and Fractional Differential Equations year: 1993 ident: 200202_CR130 – volume-title: Regional Analysis of Time-Fractional Order Diffusion Processes year: 2017 ident: 200202_CR57 – volume-title: Intelligent Numerical Methods: Applications to Fractional Calculus year: 2015 ident: 200202_CR7 – volume-title: Intelligent Systems at the Service of Mankind - Vol. 2 year: 2005 ident: 200202_CR49 – volume-title: Control and Optimization with PDE Constraints year: 2013 ident: 200202_CR26 – volume-title: Integral Transformations and Anticipative Calculus for Fractional Brownian Motions year: 2005 ident: 200202_CR69 – volume-title: Analytic Methods of Analysis and Differential Equations: AMADE 2009 year: 2012 ident: 200202_CR82 – volume-title: The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type year: 2010 ident: 200202_CR46 doi: 10.1007/978-3-642-14574-2 – volume-title: Elements of Hereditary Solids Mechanics year: 1977 ident: 200202_CR164 – volume-title: Theory and Applications of Fractional Differential Equations year: 2006 ident: 200202_CR84 – volume-title: Mixed Boundary Value Problems in Potential Theory year: 1966 ident: 200202_CR179 – volume-title: Universal Formulas in Integral and Fractional Differential Calculus year: 2016 ident: 200202_CR135 doi: 10.1142/9585 – volume-title: Fractional Order Motion Controls year: 2012 ident: 200202_CR99 doi: 10.1002/9781118387726 – volume-title: Advances in the Theory and Applications of Non-integer Order Systems: 5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Poland year: 2013 ident: 200202_CR132 – volume-title: Analogue Realization of Fractional Order Controllers year: 2002 ident: 200202_CR157 – volume-title: Computational Methods in the Fractional Calculus of Variations year: 2015 ident: 200202_CR5 doi: 10.1142/p991 – volume-title: Local Fractional Functional Analysis and Its Applications year: 2011 ident: 200202_CR207 – volume-title: Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis: Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations year: 2013 ident: 200202_CR94 – volume: 16 start-page: 1140 issue: 3 year: 2011 ident: 200202_CR105 publication-title: Communications in Nonlinear Science and Numerical Simulations doi: 10.1016/j.cnsns.2010.05.027 – volume-title: Nonlinear Noninteger Order Systems: Theory and Applications year: 2001 ident: 200202_CR9 – volume-title: Fractional Calculus and Its Applications (Proc. of International Conference held in Nihon University, Tokyo 1989) year: 1990 ident: 200202_CR68 – volume-title: Discrete Fractional Calculus: Applications in Control and Image Processing year: 2015 ident: 200202_CR145 – volume-title: From Bessel to Multi-Index Mittag Leffler Functions: Enumerable Families, Series in them and Convergence year: 2016 ident: 200202_CR153 doi: 10.1142/q0026 – volume: 18 start-page: 217 issue: 6 year: 2016 ident: 200202_CR96 publication-title: Entropy doi: 10.3390/e18060217 – volume-title: Fractional Calculus with Applications for Nuclear Reactor Dynamics year: 2015 ident: 200202_CR166 doi: 10.1201/b18684 – volume-title: The H-Functions of One and Two Variables with Applications year: 1982 ident: 200202_CR183 – volume-title: Mathematics and Science Applications and Frontiers: with Fractional Calculus year: 2008 ident: 200202_CR115 – volume-title: Fractional-order Chaotic Systems year: 2009 ident: 200202_CR155 – volume-title: Method of Fractional Derivatives year: 2008 ident: 200202_CR190 – volume-title: The Human Respiratory System: An Analysis of the Interplay between Anatomy, Structure, Breathing and Fractal Dynamics year: 2013 ident: 200202_CR71 doi: 10.1007/978-1-4471-5388-7 – volume-title: Frontiers in Fractional Calculus year: 2017 ident: 200202_CR23 – volume-title: Selected Problems of Fractional Systems Theory year: 2011 ident: 200202_CR78 doi: 10.1007/978-3-642-20502-6 – volume-title: Transform Methods & Special Functions, Sofia’1994 (Proc. 1st Intern. Workshop, with Special session on FC) year: 1995 ident: 200202_CR172 – volume-title: Introduction to the Fractional Calculus of Variations year: 2012 ident: 200202_CR114 doi: 10.1142/p871 – volume-title: Advances in Harmonic Analysis and Operator Theory: The Stefan Samko Anniversary Volume year: 2013 ident: 200202_CR4 – volume-title: The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science year: 2016 ident: 200202_CR97 doi: 10.1002/9781119139447 – volume-title: Local Fractional Integral Transforms and Their Applications year: 2015 ident: 200202_CR209 – volume-title: Fractional Order Darwinian Particle Swarm Optimization: Applications and Evaluation of an Evolutionary Algorithm year: 2016 ident: 200202_CR38 doi: 10.1007/978-3-319-19635-0 – volume-title: An Introduction to Fractional Control year: 2012 ident: 200202_CR195 doi: 10.1049/PBCE091E – volume-title: Fractional Thermoelasticity year: 2015 ident: 200202_CR159 doi: 10.1007/978-3-319-15335-3 – volume-title: Advanced Fractional Differential and Integral Equations year: 2014 ident: 200202_CR2 – volume-title: The Realization Problem for Positive and Fractional Systems year: 2014 ident: 200202_CR79 doi: 10.1007/978-3-319-04834-5 – volume-title: Solved Problems in Dynamical Systems and Control year: 2016 ident: 200202_CR100 doi: 10.1049/PBCE107E – volume-title: Fractional Calculus and Fractional Processes with Applications to Financial Economics year: 2016 ident: 200202_CR50 – volume-title: Theory of Fractional Dynamic Systems year: 2009 ident: 200202_CR90 – volume-title: La commande CRONE: du scalaire au multivariable year: 1999 ident: 200202_CR150 – volume-title: Introduction to Radon Transforms: With Elements of Fractional Calculus and Harmonic Analysis year: 2015 ident: 200202_CR171 – volume-title: Fractional Calculus, Vol. 5 year: 1996 ident: 200202_CR141 – volume-title: Fractional Calculus and Integral Transforms of Generalized Functions year: 1979 ident: 200202_CR124 – volume-title: Pseudo Differential Operators & Markov Processes: Generators and Their Potential Theory (Vol. 2) year: 2002 ident: 200202_CR72 doi: 10.1142/p264 – volume-title: Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering year: 2007 ident: 200202_CR174 – volume-title: Fractional Calculus: Applications year: 2014 ident: 200202_CR41 – volume-title: Fractional Order Crowd Dynamics: Cyber-Human System Modeling and Control year: 2017 ident: 200202_CR30 – volume-title: An Introduction to Fractional Mechanics year: 2011 ident: 200202_CR92 – volume-title: Flows, Energetics, and Waves: Mathematical Applications: Physical Sciences and Engineering Analysis year: 2014 ident: 200202_CR116 – volume-title: Mathematical Methods in Engineering year: 2014 ident: 200202_CR52 – volume-title: New Trends in Nanotechnology and Fractional Calculus Applications year: 2001 ident: 200202_CR16 – volume-title: Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models year: 2015 ident: 200202_CR112 – volume-title: Basic Theory of Fractional Differential Equations year: 2014 ident: 200202_CR212 doi: 10.1142/9069 – volume-title: Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation year: 2011 ident: 200202_CR156 doi: 10.1007/978-3-642-18101-6 – volume-title: Fractional Calculus: An Introduction for Physicists year: 2011 ident: 200202_CR65 doi: 10.1142/8072 – volume-title: Long-range Interaction, Stochasticity and Fractional Dynamics - Dedication to George M. Zaslavsky (1935-2008) year: 2010 ident: 200202_CR98 – volume-title: Special Functions in Queuing Theory and Related Stochastic Processes year: 1982 ident: 200202_CR184 – volume-title: Lectures on Seismology and Rheological Tectonics year: 1992 ident: 200202_CR33 – volume-title: Fractional Calculus: Models and Numerical Methods year: 2012 ident: 200202_CR15 doi: 10.1142/8180 – volume-title: First Steps in Random Walks: From Tools to Applications year: 2011 ident: 200202_CR87 doi: 10.1093/acprof:oso/9780199234868.001.0001 – volume-title: Asymptotic Integration and Stability: For Ordinary, Functional and Discrete Differential Equations of Fractional Order year: 2015 ident: 200202_CR19 doi: 10.1142/9413 – volume: 16 start-page: 479 issue: 2 year: 2013 ident: 200202_CR101 publication-title: Fractional Calculus and Applied Analysis doi: 10.2478/s13540-013-0030-y – volume-title: An Essence of Nishimoto’s Fractional Calculus (Calculus of the 21st Century), Integrals and Differentiations of Arbitrary Order year: 1991 ident: 200202_CR139 – volume-title: La Dérivation Non Entière. Théorie, Synthèse et Applications year: 1995 ident: 200202_CR148 – volume-title: Fractional Kinetics in Solids: Anomalous Charge Transport in Semiconductors, Dielectrics and Nanosystems year: 2013 ident: 200202_CR192 doi: 10.1142/8185 – volume-title: Pseudo Differential Operators & Markov Processes: Markov Processes and Applications (Vol. 3) year: 2005 ident: 200202_CR74 doi: 10.1142/p395 – volume-title: Stochastic Models for Fractional Calculus year: 2011 ident: 200202_CR126 doi: 10.1515/9783110258165 – volume-title: Abel Integral Equations: Analysis and Applications year: 1991 ident: 200202_CR61 doi: 10.1007/BFb0084665 – volume-title: Fractional Order Systems: Modeling and Control Applications year: 2010 ident: 200202_CR31 doi: 10.1142/7709 – volume-title: Synchronization of Integral and Fractional Order Chaotic Systems: A Differential Algebraic and Differential Geometric Approach With Selected Applications in Real-Time year: 2015 ident: 200202_CR117 doi: 10.1007/978-3-319-15284-4 – volume-title: Dead Matter has Memory! year: 2002 ident: 200202_CR201 – volume-title: H-Transforms: Theory and Applications year: 2004 ident: 200202_CR83 doi: 10.1201/9780203487372 – volume-title: Fractional Calculus and its Applications year: 2003 ident: 200202_CR134 – volume-title: Fractional Calculus and Approximation Methods in Modelling of Dynamic Systems year: 2008 ident: 200202_CR196 – volume-title: Physics of Fractal Operators year: 2003 ident: 200202_CR198 doi: 10.1007/978-0-387-21746-8 – volume-title: Fractional Calculus in Analysis, Dynamics & Optimal Control year: 2014 ident: 200202_CR39 – volume-title: Fractional Order Equations and Inclusions year: 2017 ident: 200202_CR53 doi: 10.1515/9783110522075 – volume-title: Fractional Calculus: An Introduction for Physicists year: 2014 ident: 200202_CR66 doi: 10.1142/8934 – volume-title: Fractional Calculus, Vol. 4 year: 1991 ident: 200202_CR140 – volume-title: Physiology, Promiscuity, and Prophecy at the Millennium: A Tale of Tails year: 1999 ident: 200202_CR199 doi: 10.1142/4069 – volume-title: Systèmes Différentiels Fractionnaires. Modèles, Méthodes & Applications (Journées Thématiques, ENST, Paris, Dec. 1998) year: 1998 ident: 200202_CR123 – volume: 98 start-page: 577 issue: 1 year: 2014 ident: 200202_CR102 publication-title: Scientometrics doi: 10.1007/s11192-013-1032-6 – volume-title: Fractional-Order Control Systems: Fundamentals and Numerical Solutions year: 2017 ident: 200202_CR203 doi: 10.1515/9783110497977 – volume-title: Fractional Calculus in Bioengineering year: 2006 ident: 200202_CR110 – volume-title: Elasticitá e Dissipazione year: 1969 ident: 200202_CR32 – volume-title: Transform Methods & Special Functions, Varna’96 (Proc. 2nd International Workshop, with special session on FC and “Open Problems in FC” Round Table) year: 1998 ident: 200202_CR173 – volume-title: Advances in Applied Analysis year: 2012 ident: 200202_CR168 – volume-title: Linear Fractional Diffusion-Wave Equation for Scientists and Engineers year: 2015 ident: 200202_CR160 doi: 10.1007/978-3-319-17954-4 – volume-title: Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions year: 2016 ident: 200202_CR64 – volume-title: Statistical Inference for Fractional Diffusion Processes year: 2010 ident: 200202_CR165 – volume-title: Integral Transforms and Representations of Functions in Complex Domain (In Russian) year: 1966 ident: 200202_CR48 – volume-title: International Conference on Fractional Differentiation and Applications year: 2016 ident: 200202_CR181 – volume: 19 start-page: 1074 issue: 5 year: 2016 ident: 200202_CR108 publication-title: Fractional Calculus and Applied Analysis doi: 10.1515/fca-2016-0059 – volume-title: Chance and Stability. Stable Distributions and their Applications year: 1999 ident: 200202_CR193 doi: 10.1515/9783110935974 – volume-title: Diversity and Non-integer Differentiation for System Dynamics year: 2014 ident: 200202_CR149 doi: 10.1002/9781118760864 – volume-title: Fractional Calculus: Theory year: 2014 ident: 200202_CR42 – volume-title: Special Functions for Applied Scientists year: 2008 ident: 200202_CR119 doi: 10.1007/978-0-387-75894-7 – volume-title: Integrals and Series, Vol. 3: More Special Functions year: 1986 ident: 200202_CR162 – volume-title: Fractional Processes and Fractional-Order Signal Processing: Techniques and Applications year: 2012 ident: 200202_CR178 doi: 10.1007/978-1-4471-2233-3 – volume-title: Functional Fractional Calculus year: 2011 ident: 200202_CR44 doi: 10.1007/978-3-642-20545-3 – volume-title: Fractional Order Devices year: 2017 ident: 200202_CR25 doi: 10.1007/978-3-319-54460-1 – volume-title: Inference on the Hurst Parameter and the Variance of Diffusions Driven by Fractional Brownian Motion year: 2014 ident: 200202_CR22 doi: 10.1007/978-3-319-07875-5 – volume-title: Fractional Calculus, Vol. 2 year: 1987 ident: 200202_CR137 – volume-title: Lévy Matters II. Recent Progress in Theory and Applications: Fractional Lévy Fields, and Scale Function year: 2013 ident: 200202_CR37 – volume: 13 start-page: 447 issue: 4 year: 2010 ident: 200202_CR104 publication-title: Fractional Calculus and Applied Analysis – volume-title: Elements of Random Walk and Diffusion Processes year: 2013 ident: 200202_CR70 doi: 10.1002/9781118618059 – volume-title: Fractional Dynamics: Recent Advances year: 2011 ident: 200202_CR86 – volume-title: Fractional Differentiation and its Applications year: 2005 ident: 200202_CR127 – volume-title: Special Functions in Fractional Calculus and Related Fractional Differential Equations year: 2017 ident: 200202_CR185 – volume-title: Discrete Fractional Calculus year: 2015 ident: 200202_CR59 doi: 10.1007/978-3-319-25562-0 – volume: 13 start-page: 329 issue: 3 year: 2010 ident: 200202_CR103 publication-title: Fractional Calculus and Applied Analysis – volume-title: Fractional Evolution Equations and Inclusions: Analysis and Control year: 2016 ident: 200202_CR213 – volume-title: Transport Spectroscopy of Confined Fractional Quantum Hall Systems year: 2015 ident: 200202_CR12 doi: 10.1007/978-3-319-21051-3 – volume-title: Generalized Fractional Calculus and Applications year: 1994 ident: 200202_CR85 – volume-title: Fractional Dynamics and Control year: 2011 ident: 200202_CR18 – volume-title: Fractional Calculus, Vol. 3 year: 1989 ident: 200202_CR138 – volume-title: Advances in Robust Fractional Control year: 2015 ident: 200202_CR151 doi: 10.1007/978-3-319-10930-5 – volume-title: Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles year: 2014 ident: 200202_CR11 – volume-title: Long-Memory Processes: Probabilistic Properties and Statistical Methods year: 2013 ident: 200202_CR21 doi: 10.1007/978-3-642-35512-7 – volume-title: Mittag-Leffler Functions, Related Topics and Applications year: 2014 ident: 200202_CR60 doi: 10.1007/978-3-662-43930-2 – volume-title: Stochastic Calculus for Fractional Brownian Motion and Applications year: 2008 ident: 200202_CR24 doi: 10.1007/978-1-84628-797-8 – volume-title: Analytic Methods of Analysis and Differential Equations: AMADE-2015 year: 2016 ident: 200202_CR167 – volume-title: Fractional Hermite-Hadamard Inequalities year: 2017 ident: 200202_CR197 – volume-title: Advances in Modelling and Control of Non-integer-Order Systems: 6th Conference on Non-integer Order Calculus and Its Applications, 2014 Opole, Poland year: 2015 ident: 200202_CR91 – volume-title: Hamiltonian Chaos and Fractional Dynamics year: 2008 ident: 200202_CR210 – volume-title: Fractional Partial Differential Equations and Their Numerical Solutions year: 2015 ident: 200202_CR62 doi: 10.1142/9543 – volume-title: Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences year: 1973 ident: 200202_CR120 doi: 10.1007/BFb0060468 – volume-title: Univalent Functions, Fractional Calculus and Their Applications year: 1990 ident: 200202_CR186 – volume-title: Fractional Integrals and Derivatives: Theory and Applications year: 1993 ident: 200202_CR177 – volume-title: The Hypergeometric Approach to Integral Transforms and Convolutions year: 1994 ident: 200202_CR206 doi: 10.1007/978-94-011-1196-6 – volume-title: Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media year: 2011 ident: 200202_CR187 – volume-title: Jacobians of Matrix Transformations and Functions of Matrix Argument year: 1997 ident: 200202_CR118 doi: 10.1142/3438 – volume-title: Pseudo-Differential Operators and Markov Processes: Fourier Analysis and Semigroups (Vol. 1) year: 2002 ident: 200202_CR73 doi: 10.1142/p264 – volume-title: The Use of Operators of Fractional Integration in Applied Mathematics year: 1979 ident: 200202_CR180 – volume-title: Fractional Calculus and Its Applications, Proceedings of the International Conference, New Haven University, New Haven year: 1974 ident: 200202_CR169 – volume-title: Fractional Calculus (Proc. of International Conference held in Ross Priory - University of Strathclyde, Scotland, August 1984) year: 1985 ident: 200202_CR125 – volume-title: Analytic Methods of Analysis and Differential Equations: AMADE-2006 year: 2008 ident: 200202_CR81 – volume-title: Nonlinear Science and Complexity year: 2010 ident: 200202_CR106 – volume-title: Fractals and Fractional Calculus in Continuum Mechanics (CISM International Centre for Mechanical Sciences) year: 1997 ident: 200202_CR34 – volume-title: Intelligent Fractional Order Systems and Control: An Introduction year: 2013 ident: 200202_CR152 doi: 10.1007/978-3-642-31549-7 – volume-title: Fractional Differential Calculus for Non-differentiable Functions: Mechanics, Geometry, Stochastics, Information Theory year: 2014 ident: 200202_CR76 – volume-title: Fractional Calculus View of Complexity: Tomorrow’s Science year: 2015 ident: 200202_CR200 – volume-title: Nonlocal Diffusion and Applications year: 2016 ident: 200202_CR28 doi: 10.1007/978-3-319-28739-3 – volume-title: Theory and Applications of Convolution Integral Equations year: 1992 ident: 200202_CR182 doi: 10.1007/978-94-015-8092-2 – volume-title: Partial Differential Equations of Fractional Order year: 2005 ident: 200202_CR163 – volume-title: Wybrane zagadnienia teorii układów niecałkowitych rzȩdów (in Polish) year: 2009 ident: 200202_CR77 – volume-title: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution, Mathematics in Science and Engineering year: 1999 ident: 200202_CR158 – volume-title: Distributed-Order Dynamic Systems: Stability, Simulation, Applications and Perspectives year: 2012 ident: 200202_CR75 doi: 10.1007/978-1-4471-2852-6 – volume-title: Soft Solids: A Primer to the Theoretical Mechanics of Materials year: 2014 ident: 200202_CR55 doi: 10.1007/978-3-319-03551-2 – volume-title: Functional Fractional Calculus: For System Identification and Controls year: 2008 ident: 200202_CR43 – volume-title: Fractional Integrals and Derivatives: Theory and Applications year: 1987 ident: 200202_CR176 – volume-title: Intelligent Engineering Systems and Computational Cybernetics year: 2009 ident: 200202_CR109 – volume-title: Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models year: 2010 ident: 200202_CR111 doi: 10.1142/p614 – volume-title: Fractional Fields and Applications year: 2013 ident: 200202_CR36 doi: 10.1007/978-3-642-36739-7 – volume-title: New Trends in Nanotechnology and Fractional Calculus Applications year: 2009 ident: 200202_CR17 – volume-title: Anomalous Diffusion, Front Propagation and Random Searches year: 2014 ident: 200202_CR129 – volume-title: Fractional Derivatives for Physicists and Engineers. Vol. I: Background and Theory. Vol. II: Applications year: 2012 ident: 200202_CR191 – volume-title: Topics in Fractional Differential Equations year: 2012 ident: 200202_CR1 doi: 10.1007/978-1-4614-4036-9 – volume-title: Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach year: 2015 ident: 200202_CR20 doi: 10.1007/978-3-319-08621-7 – volume-title: Advanced Local Fractional Calculus and Its Applications year: 2012 ident: 200202_CR208 – volume-title: The Fractional Laplacian year: 2016 ident: 200202_CR161 doi: 10.1201/b19666 – volume-title: Fractional Order Differentiation and Robust Control Design: CRONE, H-infinity and Motion Control year: 2015 ident: 200202_CR175 doi: 10.1007/978-94-017-9807-5 |
| SSID | ssib054405957 ssj0000826098 |
| Score | 2.4684858 |
| SecondaryResourceType | review_article |
| Snippet | Since the 60s of last century Fractional Calculus exhibited a remarkable progress and presently it is recognized to be an important topic in the scientific... |
| SourceID | proquest crossref walterdegruyter springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 307 |
| SubjectTerms | 01A60 01A61 01A67 35R11 60G22 Abstract Harmonic Analysis Analysis applications development Fractional calculus fractional order differential equations fractional order mathematical models Functional Analysis Historical Survey Integral Transforms Mathematical analysis Mathematics Operational Calculus Primary 26A33 Secondary 34A08 |
| Title | The Chronicles of Fractional Calculus |
| URI | https://link.springer.com/article/10.1515/fca-2017-0017 https://www.degruyter.com/doi/10.1515/fca-2017-0017 https://www.proquest.com/docview/2522435047 |
| Volume | 20 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1Lb8IwDLZ4XMYB7amxMdTDHpdVlCYh7ZEhGJoEmqYhcavSNNkFwURB0_79nNAWbRPaznm0sh3nS-x8BrgOva4kXHiuTvzQpURwN1Yxc2mHSqIE_rt94T2edEdT-jRjsxK087cwNts9D0laT21r9HRYW0uBKkWfahxrGaoMj-0mh2_q93IDYhThR5iF8awrRvDs2Xq4hlXGNXRzGc_mrxm_70s7sFnER2tQ_7AR7ES9rTaf6zxiajei4SHUMwTp9LYqP4KSWhxDbVzQr6YncIPKdwra29RZame42r5gwJF9MTd3fukpTIeD1_7IzeohuJKEbO1yw6SiEt3hRIYIQ3yhvdjXyhc04SIgkimpFQIoTWTQxcXV6YaCMZ8G5rYTHckZVBbLhToHJxYi5IwJrQmjUiWBxqMw4Qj2UFM6UA24z6URyYws3NSsmEfm0IDCi1B4kRGeSYrjDbgtur9vWTL2dWzmoo2yxZJGPmJARG0exea7XNy75j0T0R_a-GOAKRPv8Yt_f-ASDra2YZJ0mlBZrzbqCvHHOm5BORg-tqD6MJg8v7SsBX4B0t7S3Q |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LTwIxEJ4gHpQD8RlR1D34uLhx2bbb3SMhElTgBAm3TbfbeiFgeMT47512H0QN0XMfu5mZTr92pt8A3EReIAkXnqtTP3IpEdxNVMJc2qKSKIH_bl94D4ZBb0xfJmxSgcfiLYzNdi9CktZT2xo9LfaopUCVok81jnUHdhEHhMakx367MCBGEX5EeRjPumIEz56th2tYZVxDN5fzbP6a8fu-tAGbZXy0BvUPG8FO1dti_bkqIqZ2I-oeQD1HkE47U_khVNTsCGqDkn51eQy3qHynpL1dOnPtdBfZCwYc2RFTc-e3PIFx92nU6bl5PQRXkoitXG6YVFSqW5zICGGIL7SX-Fr5gqZchEQyJbVCAKWJDANcXK0gEoz5NDS3nehITqE6m8_UGTiJEBFnTGhNGJUqDTUehQlHsIea0qFqwEMhjVjmZOGmZsU0NocGFF6MwouN8ExSHG_AXdn9PWPJ2NaxWYg2zhfLMvYRAyJq8yg23xfi3jRvmYj-0MYfA0yZeI-f__sD17DXGw36cf95-HoB-5mdmISdJlRXi7W6RCyySq6s_X0BWbXTUA |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT8MwDLbGkBA7TDzFYEAPPC5Ua5tkacVpAqbx2MSBSbtVaZpwmbZp7YT49zh9bAI0wTmPVrbjfInjzwAXgdOWhAvH1rEX2JQIbkcqYjZ1qSRK4L9nGd79Qbs3pE8jNqrAbZkLk712L0OSeU6DYWmapK1ZrPN6PS5raSlQvehfjZPdgE30xK45eQ29TmlMjCIUCYqQXuaWEUg7WW1cwzBjG-q5gnPz14zf96gV8FzGSmtQ_8ii2bF6ny8-0zJ6mm1K3R2oF2jS6uTq34WKmuxBrb-kYk324RINwVpS4CbWVFvdeZ7NgCPvxNjc_yUHMOw-vN317KI2gi1JwFKbG1YVFWuXExkgJPGEdiJPK0_QmAufSKakVgimNJF-Gxea2w4EYx71zc0nOpVDqE6mE3UEViREwBkTWhNGpYp9jcdiwhH4oda0rxpwU0ojlAVxuKlfMQ7NAQKFF6LwQiM880CON-Bq2X2WM2as69gsRRsWCycJPcSDiOAcis3XpbhXzWsmoj-08ccAUzLe4cf__sA5bL3ed8OXx8HzCWznZmLe7jShms4X6hRhSRqdZeb3BcvI14w |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+Chronicles+of+Fractional+Calculus&rft.jtitle=Fractional+calculus+%26+applied+analysis&rft.au=Machado%2C+J.+A.+Tenreiro&rft.au=Kiryakova%2C+Virginia&rft.date=2017-04-01&rft.pub=Versita&rft.issn=1311-0454&rft.eissn=1314-2224&rft.volume=20&rft.issue=2&rft.spage=307&rft.epage=336&rft_id=info:doi/10.1515%2Ffca-2017-0017&rft.externalDocID=10_1515_fca_2017_0017 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1311-0454&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1311-0454&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1311-0454&client=summon |