Some families of ordinary and partial fractional differintegral equations
Making use of the theory of fractional calculus (that is, derivatives and integrals of any real or complex order), the authors derive particular solutions of certain families of ordinary and partial fractional differintegral equations. Relevant connections of the results presented here with those ob...
Saved in:
| Published in | Integral transforms and special functions Vol. 11; no. 3; pp. 291 - 302 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Gordon and Breach Science Publishers
01.06.2001
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | Making use of the theory of fractional calculus (that is, derivatives and integrals of any real or complex order), the authors derive particular solutions of certain families of ordinary and partial fractional differintegral equations. Relevant connections of the results presented here with those obtained in several earlier works are also mentioned. |
|---|---|
| AbstractList | Making use of the theory of fractional calculus (that is, derivatives and integrals of any real or complex order), the authors derive particular solutions of certain families of ordinary and partial fractional differintegral equations. Relevant connections of the results presented here with those obtained in several earlier works are also mentioned. |
| Author | Chyan, Ding-Kuo Tu, Shih-Tong Srivastava, H.M. |
| Author_xml | – sequence: 1 givenname: Shih-Tong surname: Tu fullname: Tu, Shih-Tong organization: Department of Mathematics , Chung Yuan Christian University – sequence: 2 givenname: Ding-Kuo surname: Chyan fullname: Chyan, Ding-Kuo organization: Department of Mathematics , Hwa-Hsia College of Technology and Commerce – sequence: 3 givenname: H.M. surname: Srivastava fullname: Srivastava, H.M. organization: Department of Mathematics and Statistics , University of Victoria |
| BookMark | eNqFkE1LAzEQhoNUsK3-AG_7B1Yzm2Q_wIsUPwoFD-o5ZDcTiewmNYlo_70p9VbQ08w7M88w8y7IzHmHhFwCvQLa0mugtah4TbNooWPQnZA58KYu26qDWc5zv8wD3RlZxPhOKTDRiDlZP_sJC6MmO1qMhTeFD9o6FXaFcrrYqpCsGgsT1JCsdznV1hgM1iV8C1nix6fad-I5OTVqjHjxG5fk9f7uZfVYbp4e1qvbTTkwzlMptFAVqzVvKVKODRuamvcGVQeVQTM0PdWmFZojgBAU-5q2UDE99KKvcoUtCRz2DsHHGNDIbbBTPlgClXsv5JEXmbk5MNYZHyb15cOoZVK70Yf8mhtslOwvvPkXP6Jk-k7sB9uReXE |
| CitedBy_id | crossref_primary_10_1016_S0898_1221_03_90007_1 crossref_primary_10_1186_1687_2770_2013_126 crossref_primary_10_1016_j_amc_2007_10_037 crossref_primary_10_1007_s12591_016_0308_8 crossref_primary_10_1016_S0096_3003_02_00389_2 crossref_primary_10_1134_S1061920807030090 crossref_primary_10_1016_j_amc_2006_09_005 crossref_primary_10_1007_s40010_018_0499_1 crossref_primary_10_1016_j_amc_2006_08_152 crossref_primary_10_1016_S0096_3003_01_00139_4 crossref_primary_10_1016_S0898_1221_02_00278_X crossref_primary_10_1016_j_camwa_2005_03_021 crossref_primary_10_1016_S0898_1221_03_90185_4 crossref_primary_10_1016_j_camwa_2004_09_009 crossref_primary_10_1155_2013_715258 |
| Cites_doi | 10.1016/0022-247X(85)90117-9 10.1016/S0096-3003(95)00197-2 |
| ContentType | Journal Article |
| Copyright | Copyright Taylor & Francis Group, LLC 2001 |
| Copyright_xml | – notice: Copyright Taylor & Francis Group, LLC 2001 |
| DBID | AAYXX CITATION |
| DOI | 10.1080/10652460108819319 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1476-8291 |
| EndPage | 302 |
| ExternalDocumentID | 10_1080_10652460108819319 8819319 |
| Genre | Original Articles |
| GroupedDBID | .7F .QJ 0BK 0R~ 30N 4.4 5GY 5VS AAAVI AAENE AAJMT AALDU AAMIU AAPUL AAQRR ABBKH ABCCY ABFIM ABHAV ABJVF ABLIJ ABPEM ABPTK ABQHQ ABTAI ABXUL ACAGQ ACGEJ ACGFS ACIWK ACTIO ADCVX ADGTB ADXPE AEGYZ AEISY AENEX AEOZL AEPSL AEYOC AFKVX AFOLD AFWLO AGDLA AGMYJ AGROQ AHDLD AHMOU AIJEM AIRXU AJWEG AKBVH AKOOK ALCKM ALMA_UNASSIGNED_HOLDINGS ALQZU AQRUH AVBZW BLEHA CAG CCCUG CE4 COF CRFIH CS3 DGEBU DKSSO DMQIW DU5 EBS EJD E~A E~B FUNRP FVPDL GTTXZ H13 HZ~ H~P J.P KYCEM M4Z NA5 NY~ O9- P2P QCRFL RNANH ROSJB RTWRZ S-T SNACF TEJ TFL TFT TFW TOXWX TTHFI TWF UT5 UU3 V1K ZGOLN ~S~ 07G 1TA 29J AAIKQ AAKBW AAYXX ABJNI ABPAQ ABXYU ACGEE AEUMN AGCQS AGLEN AHDZW AMXXU AWYRJ BCCOT BPLKW C06 CITATION DWIFK HF~ IPNFZ IVXBP LJTGL NUSFT RIG TAQ TBQAZ TDBHL TFMCV TUROJ UB9 UU8 V3K V4Q |
| ID | FETCH-LOGICAL-c344t-5d5a236d480e04e73c764bfea912fefc7b0df85d4e11550eb608123dcb5b21553 |
| ISSN | 1065-2469 |
| IngestDate | Thu Sep 12 16:40:26 EDT 2024 Tue Jun 13 19:28:30 EDT 2023 Mon May 13 12:09:03 EDT 2019 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c344t-5d5a236d480e04e73c764bfea912fefc7b0df85d4e11550eb608123dcb5b21553 |
| PageCount | 12 |
| ParticipantIDs | informaworld_taylorfrancis_310_1080_10652460108819319 crossref_primary_10_1080_10652460108819319 |
| PublicationCentury | 2000 |
| PublicationDate | 6/1/2001 |
| PublicationDateYYYYMMDD | 2001-06-01 |
| PublicationDate_xml | – month: 06 year: 2001 text: 6/1/2001 day: 01 |
| PublicationDecade | 2000 |
| PublicationTitle | Integral transforms and special functions |
| PublicationYear | 2001 |
| Publisher | Gordon and Breach Science Publishers |
| Publisher_xml | – name: Gordon and Breach Science Publishers |
| References | Erdélyi A. (CIT0003) CIT0001 Nishimoto K. (CIT0008) 1991; 32 CIT0011 Miller K.S. (CIT0005) 1993 Nishimoto K. (CIT0007) 1991 Nishimoto K. (CIT0006) 1984 Podlubny I. (CIT0010) 1999; 198 Nishimoto K. (CIT0009) 1992; 33 Ali I. (CIT0002) 1996; 9 Kalla S. (CIT0004) 1996 Whittaker E.T. (CIT0013) 1927 Tu S.-T. (CIT0012) 1996; 10 |
| References_xml | – volume: 198 volume-title: Mathematics in Science and Engineering year: 1999 ident: CIT0010 contributor: fullname: Podlubny I. – volume-title: Higher Transcendental ident: CIT0003 contributor: fullname: Erdélyi A. – volume-title: An Introduction to the Fractional Calculus and Fractional Differential Equations year: 1993 ident: CIT0005 contributor: fullname: Miller K.S. – volume-title: Fractional Calculus year: 1984 ident: CIT0006 contributor: fullname: Nishimoto K. – volume-title: Integrations and Differentiations of Arbitrary Order year: 1991 ident: CIT0007 contributor: fullname: Nishimoto K. – volume-title: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of the Principal Transcendental Functions year: 1927 ident: CIT0013 contributor: fullname: Whittaker E.T. – volume: 9 start-page: 73 year: 1996 ident: CIT0002 publication-title: J. Fract. Calc. contributor: fullname: Ali I. – start-page: 389 volume-title: In: New Frontiers in Algebras, Groups and Geometries year: 1996 ident: CIT0004 contributor: fullname: Kalla S. – volume: 32 start-page: 119 year: 1991 ident: CIT0008 publication-title: J. College Engrg. Nihon Univ. Ser.B contributor: fullname: Nishimoto K. – volume: 33 start-page: 15 year: 1992 ident: CIT0009 publication-title: J. College Engrg. Nihon Univ. Ser.B contributor: fullname: Nishimoto K. – ident: CIT0011 doi: 10.1016/0022-247X(85)90117-9 – ident: CIT0001 doi: 10.1016/S0096-3003(95)00197-2 – volume: 10 start-page: 51 year: 1996 ident: CIT0012 publication-title: J. Fract. Calc. contributor: fullname: Tu S.-T. |
| SSID | ssj0013575 |
| Score | 1.6634659 |
| Snippet | Making use of the theory of fractional calculus (that is, derivatives and integrals of any real or complex order), the authors derive particular solutions of... |
| SourceID | crossref informaworld |
| SourceType | Aggregation Database Enrichment Source Publisher |
| StartPage | 291 |
| SubjectTerms | differintegral equations Fractional calculus Gamma functions generalized Leibniz rule hypergeomet-ric functions special functions |
| Title | Some families of ordinary and partial fractional differintegral equations |
| URI | https://www.tandfonline.com/doi/abs/10.1080/10652460108819319 |
| Volume | 11 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3NT9swFLc6uGwHtC9E9yUfOK1K58R2mhxhbJRN3YUi0C5V7Dii09awNq02-Od5_siXyiboJYqcOE78fnnv-fl9ILQv_UhwHd0exCzwmIgE_FIx9XQ2MKF4IonSAc6jb-HwjH254Bedzk0zuqQQfXl9Z1zJJlSFNqCrjpJ9AGWrh0IDnAN94QgUhuO9aHya_1LWRDG1uWNhJWnja034v-6h4xPnNnjBbMfociguRcTPnvq9bBjsftRO7eZqUeq0No3zwlaq72lJWHcyrhnGhHo5vfTGuROExmHgrzWuHoF09L4u88qYM5-uElBKV0ZvHfZH_ZbpoeEiZcByDB_lXKYP59r3s-JHtUt_g7US7U_HbGGWvrJtbBB6UWDrdVX82G_gjjaZq7vPymlqIrXXRYD1mdSjwWCw2oxA56GOLbcza7srj9B2AFwK2OP2wfDo-3m9CcVNnubqxctN8Yh8WHt8S61pJb1tqCvjp2jHrTPwgQXNM9RRs-foyahK0rt4gU40fHAJH5xnuIQPhsnGDj64hg9uwwdX8HmJzj5_Gn8ceq6yhicpY4XHU54ENExZRBRhakDlIGQiU0nsB5nK5ECQNIt4ypSvl7BKhKA5BjSVgotAV5raRVuzfKb2EPZFwuKURlT4khEVJrCgDmUCij-VJFZxF70vJ2ZyZROoTHyXl3ZtFruINKduUhirVWZLzKzfPin-FF3E_9OF_nOoVxv2e40e17_CG7RVzJfqLeilhXjn8HMLo3CMJQ |
| link.rule.ids | 315,783,787,27936,27937,60214,61003 |
| linkProvider | Library Specific Holdings |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwED6hMgADb0R5emBCSuXEjyYjQlQttF1opW5R7NgL0GcqIX49dpxAS4GhUzL4kTjn3H3nu-8AbqQfCmaz24OIBh4VoTBbKiKeZQMTiiUSK5vg3OnyZp8-DtigcLjNirBKi6G1I4rI_9V2c1tndBkSZ66cBdRCidAoNGJZPze5Jf-yKRy4-32KwHKiXdvcM-2j8lTztyGW9NISa-mCvmnsQVw-qQszeanNM1GTHz9IHNd_lX3YLUxRdOdk5wA21PAQdjpfPK6zI2g9j94Uyp0gBlGjkUYGq-YZvMhMicZW7swQeurSI8ytK7hSkFC8IjVxVOKzY-g3Hnr3Ta8ovuBJQmnmsZQlAeEpDbHCVNWJrHMqtEoiP9BKy7rAqQ5ZSpVvUY4S3BgXAUmlYCKwxYhOoDIcDdUpIF8kNEoNFBa-pFjxxGAuLhNjGxKJIxVV4bZc-njsODZiv6AuXVmfKuDFjxNnuWNDuyokq83j7D2rAvunC_lzqrM1-13DVrPXacftVvfpHLZd1Jr121xAJZvO1aUxYzJxlcvqJ0SE5nY |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELZQkRAMvBHl6YEJKZUT22kyIqBqgVZIUKlbFDvnBWhLm0qIX885TqFQYOiUDH4o9jl33_nuO0LOtB8pabPbg1gEnlCRwiMVc8-ygSmQqWZgE5zbnbDZFTc92Stjc8ZlWKXF0MYRRRT_anu4h5mZRsThM5SBsEgiQn3GLennMloBzIo5Z52vSwRZ8Oza5h62j6eXmr8N8U0tfSMtnVE3jQ1XU3VcsBTaKJOn2iRXNf3-g8Nx4S_ZJOulIUovnORskSXob5O19ieL63iHtB4GL0ALFwjiaTowFJFqkb9LcUY6tFKHQ5iRS47AV1dupaSgeKbw6ojEx7uk27h-vGx6ZekFT3Mhck9mMg14mImIARNQ57oeCmUgjf3AgNF1xTITyUyAbzEOqBBNi4BnWkkV2FJEe6TSH_Rhn1BfpSLOEAgrXwsGYYqIK9QpWoZcsxjiKjmfrnwydAwbiV8Sl86tT5Ww2b1J8sKtYVwNkvnmSf6WV4n8pwv_c6qDBfudkpX7q0Zy1-rcHpJVF7JmnTZHpJKPJnCMNkyuTgpJ_QCXHuUj |
| 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=Some+families+of+ordinary+and+partial+fractional+differintegral+equations&rft.jtitle=Integral+transforms+and+special+functions&rft.au=Tu%2C+Shih-Tong&rft.au=Chyan%2C+Ding-Kuo&rft.au=Srivastava%2C+H.M.&rft.date=2001-06-01&rft.pub=Gordon+and+Breach+Science+Publishers&rft.issn=1065-2469&rft.eissn=1476-8291&rft.volume=11&rft.issue=3&rft.spage=291&rft.epage=302&rft_id=info:doi/10.1080%2F10652460108819319&rft.externalDocID=8819319 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1065-2469&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1065-2469&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1065-2469&client=summon |