New Results on Existence in the Framework of Atangana-Baleanu Derivative for Fractional Integro-Differential Equations
| dc.contributor.author | Logeswari, K. | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Ravichandran, C. | |
| dc.date.accessioned | 2020-02-12T07:12:11Z | |
| dc.date.accessioned | 2025-09-18T14:09:17Z | |
| dc.date.available | 2020-02-12T07:12:11Z | |
| dc.date.available | 2025-09-18T14:09:17Z | |
| dc.date.issued | 2019 | |
| dc.description | Ravichandran, Chokkalingam/0000-0003-0214-1280; Jarad, Fahd/0000-0002-3303-0623 | en_US |
| dc.description.abstract | In this article, we consider integro-differential equations involving the recently explored Atangana-Baleanu fractional derivatives which contain the generalized Mittag-Leffler functions in their kernels. Utilizing fixed point techniques, we examine the existence and uniqueness of solutions to such equations in Banach spaces. Moreover, we consider an example and investigate numerical outcomes for various values of the fractional order. Then, we consider the stability of the tackled integro-differential equation in the frame of Ulam. (C) 2019 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | Kongunadu Arts and Science College (Autonomous), Coimbatore, Tamil Nadu, India | en_US |
| dc.description.sponsorship | Authors sincerely thank the reviewers and editors for providing constructive comments for improvement of the manuscript. The first two authors wishes to thank the President Dr. M. Aruchami; Secretary and Director Dr. C. A. Vasuki, Kongunadu Arts and Science College (Autonomous), Coimbatore-641 029, Tamil Nadu, India, for their constant encouragement and support for this research work. | en_US |
| dc.identifier.citation | Ravichandran, C.; Logeswari, K.; Jarad, Fand, "New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations", Chaos Solitons & Fractals, Vol. 125, pp. 194- 200, (2019). | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2019.05.014 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85066261241 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2019.05.014 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13345 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Differential Equation | en_US |
| dc.subject | Atangana-Baleanu Derivative | en_US |
| dc.subject | Fixed Point Techniques | en_US |
| dc.title | New Results on Existence in the Framework of Atangana-Baleanu Derivative for Fractional Integro-Differential Equations | en_US |
| dc.title | New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ravichandran, Chokkalingam/0000-0003-0214-1280 | |
| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
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| gdc.author.wosid | K., Logeswari,/Guu-1549-2022 | |
| gdc.author.wosid | Chokkalingam, Ravichandran/Aae-1077-2022 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ravichandran, C.; Logeswari, K.] Kongunadu Arts & Sci Coll Autonomous, PG & Res Dept Math, Coimbatore 641029, Tamil Nadu, India; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | en_US |
| gdc.description.endpage | 200 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 194 | en_US |
| gdc.description.volume | 125 | en_US |
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| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | fixed point techniques | |
| gdc.oaire.keywords | fractional differential equation | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | Atangana-Baleanu derivative | |
| gdc.oaire.keywords | Functional-differential equations with fractional derivatives | |
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