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New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations

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dc.contributor.author Ravichandran, C.
dc.contributor.author Logeswari, K.
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2020-02-12T07:12:11Z
dc.date.available 2020-02-12T07:12:11Z
dc.date.issued 2019-08
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). tr_TR
dc.identifier.issn 0960-0779
dc.identifier.uri http://hdl.handle.net/20.500.12416/2428
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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Pergamon-Elsevier Science LTD tr_TR
dc.relation.isversionof 10.1016/j.chaos.2019.05.014 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Differential Equations tr_TR
dc.subject Atangana-Baleanu Derivative tr_TR
dc.subject Fixed Point Techniques tr_TR
dc.title New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations tr_TR
dc.type article tr_TR
dc.relation.journal Chaos Solitons & Fractals tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 125 tr_TR
dc.identifier.startpage 194 tr_TR
dc.identifier.endpage 200 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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