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On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative

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dc.contributor.author Jarad, Fahd
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Hammouch, Zakia
dc.date.accessioned 2020-03-17T13:30:21Z
dc.date.available 2020-03-17T13:30:21Z
dc.date.issued 2018-12
dc.identifier.citation Jarad, Fand; Abdeljawad, Thabet; Hammouch, Zakia, "On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative", Chaos Solitons & Fractals, Vol. 117, pp. 16-20, (2018). tr_TR
dc.identifier.issn 0960-0779
dc.identifier.uri http://hdl.handle.net/20.500.12416/2657
dc.description.abstract In this paper, we discuss the conditions of existence and uniqueness of solutions to a certain class of ordinary differential equations involving Atangana-Baleanu fractional derivative. Benefiting from the Gronwall inequality in the frame of Riemann-Liouville fractional integral, we establish a Gronwall inequality in the frame of Atangana-Baleanu fractional integral. Then, we study the stability of such equations in the sense of Ulam. (C) 2018 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.2018.10.006 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Atangana-Baleanu Fractional Derivatives tr_TR
dc.subject Atangana-Baleanu Fractional Integrals tr_TR
dc.subject Gronwall Inequality tr_TR
dc.subject Ulam-Hyers Stability tr_TR
dc.title On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative tr_TR
dc.type article tr_TR
dc.relation.journal Chaos Solitons & Fractals tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 117 tr_TR
dc.identifier.startpage 16 tr_TR
dc.identifier.endpage 20 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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