Oscillation criteria for fractional differential equations with a distributed delay
This paper deals with obtaining some sufficient conditions for oscillation of high-order neutral fractional integro-differential equations. The obtained results are mentioned for the first time in the literature for the oscillation of Caputo–Fabrizio fractional integro-differential equations. Finall...
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| Published in | Soft computing (Berlin, Germany) Vol. 27; no. 13; pp. 8517 - 8523 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.07.2023
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1432-7643 1433-7479 |
| DOI | 10.1007/s00500-023-08228-3 |
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| Abstract | This paper deals with obtaining some sufficient conditions for oscillation of high-order neutral fractional integro-differential equations. The obtained results are mentioned for the first time in the literature for the oscillation of Caputo–Fabrizio fractional integro-differential equations. Finally, some illustrative examples are given to verify our main results. |
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| AbstractList | This paper deals with obtaining some sufficient conditions for oscillation of high-order neutral fractional integro-differential equations. The obtained results are mentioned for the first time in the literature for the oscillation of Caputo–Fabrizio fractional integro-differential equations. Finally, some illustrative examples are given to verify our main results. |
| Author | Yalçın Uzun, Tuğba Öztürk, Sermin |
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| Cites_doi | 10.1515/phys-2016-0012 10.1002/mma.7258 10.1098/rsta.2012.0146 10.18576/pfda/050206 10.1080/23311835.2018.1432521 10.20852/ntmsci.2020.393 10.1016/j.aml.2012.04.018 10.1016/j.chaos.2019.07.001 10.2478/s13540-012-0016-1 10.1016/j.chaos.2020.109705 10.1016/j.mechrescom.2016.10.002 10.1201/9780429274114 10.18576/pfda/020101 10.1002/mma.6602 10.1063/1.5079644 10.3390/axioms8020061 10.1016/j.physa.2019.04.024 10.33401/fujma.888390 10.1098/rsta.2020.0050 |
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| Copyright | The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Keywords | Caputo–Fabrizio fractional derivative Fractional differential equations Oscillation Distributed delay |
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| References | Feng, Sun (CR11) 2022; 46 Sierociuk, Dzieliński, Sarwas, Petras, Podlubny, Skovranek (CR29) 2013; 371 Tunc, Bazighifan (CR31) 2019; 7 Bayram, Adiguzel, Secer (CR5) 2016; 14 Grace, Bohner, Sun (CR13) 2010; 39 Singh, Kumar, Baleanu (CR30) 2019 Bushnaq, Khan, Shah, Zaman (CR6) 2018; 5 Losada, Nieto (CR18) 2015; 1 Öcalan, Öztürk (CR22) 2015; 7 CR10 Samko, Kilbas, Marichev (CR28) 1993 Aslıyüce, Güvenilir, Zafer (CR3) 2017; 46 Luo, Wang, Fečkan (CR19) 2018; 14 Li, Thandapani, Tang (CR17) 2011; 3 Restrepo, Suragan (CR26) 2020; 43 Öcalan, Öztürk (CR23) 2018; 6 Baleanu, Jajarmi, Mohammadi, Rezapour (CR4) 2020; 134 Lazopoulos, Karaoulanis, Lazopoulos (CR16) 2016; 78 Khan, Shah, Zaman, Jarad (CR14) 2019; 29 Restrepo, Suragan (CR27) 2021; 44 Uzun, Erçolak, Yıldız (CR33) 2019; 7 CR24 Uzun (CR32) 2021; 4 CR21 Zhang, Li, Agarwal, Bohner (CR34) 2012; 25 Al-Refai, Pal (CR2) 2019; 5 Caputo, Fabrizio (CR7) 2015; 1 Cesarano, Bazighifan (CR9) 2019; 8 Kilbas, Srivastava, Trujillo (CR15) 2006 Nchama (CR20) 2020; 8 Abdalla, Abdeljawad (CR1) 2019; 127 Caputo, Fabrizio (CR8) 2016; 2 Grace, Agarwal, Wong, Zafer (CR12) 2012; 15 Podlubny (CR25) 1988 8228_CR24 H Singh (8228_CR30) 2019 C Cesarano (8228_CR9) 2019; 8 D Baleanu (8228_CR4) 2020; 134 M Bayram (8228_CR5) 2016; 14 S Bushnaq (8228_CR6) 2018; 5 M Caputo (8228_CR7) 2015; 1 A Kilbas (8228_CR15) 2006 D Luo (8228_CR19) 2018; 14 M Al-Refai (8228_CR2) 2019; 5 B Abdalla (8228_CR1) 2019; 127 T Li (8228_CR17) 2011; 3 GAMB Nchama (8228_CR20) 2020; 8 J Losada (8228_CR18) 2015; 1 TY Uzun (8228_CR32) 2021; 4 8228_CR21 D Sierociuk (8228_CR29) 2013; 371 C Zhang (8228_CR34) 2012; 25 S Grace (8228_CR12) 2012; 15 SG Samko (8228_CR28) 1993 L Feng (8228_CR11) 2022; 46 JE Restrepo (8228_CR26) 2020; 43 K Lazopoulos (8228_CR16) 2016; 78 C Tunc (8228_CR31) 2019; 7 I Podlubny (8228_CR25) 1988 SR Grace (8228_CR13) 2010; 39 Ö Öcalan (8228_CR22) 2015; 7 M Caputo (8228_CR8) 2016; 2 8228_CR10 S Aslıyüce (8228_CR3) 2017; 46 JE Restrepo (8228_CR27) 2021; 44 SA Khan (8228_CR14) 2019; 29 Ö Öcalan (8228_CR23) 2018; 6 TY Uzun (8228_CR33) 2019; 7 |
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| Title | Oscillation criteria for fractional differential equations with a distributed delay |
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