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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.authorJarad, Fahd
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorHammouch, Zakia
dc.contributor.authorID234808tr_TR
dc.date.accessioned2020-03-17T13:30:21Z
dc.date.available2020-03-17T13:30:21Z
dc.date.issued2018
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn 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.en_US
dc.description.publishedMonth12
dc.identifier.citationJarad, 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).en_US
dc.identifier.doi10.1016/j.chaos.2018.10.006
dc.identifier.endpage20en_US
dc.identifier.issn0960-0779
dc.identifier.startpage16en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12416/2657
dc.identifier.volume117en_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science LTDen_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAtangana-Baleanu Fractional Derivativesen_US
dc.subjectAtangana-Baleanu Fractional Integralsen_US
dc.subjectGronwall Inequalityen_US
dc.subjectUlam-Hyers Stabilityen_US
dc.titleOn a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivativetr_TR
dc.titleOn a Class of Ordinary Differential Equations in the Frame of Atangana-Baleanu Fractional Derivativeen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationc818455d-5734-4abd-8d29-9383dae37406
relation.isAuthorOfPublicationab09a09b-0017-4ffe-a8fe-b9b0499b2c01
relation.isAuthorOfPublication.latestForDiscoveryc818455d-5734-4abd-8d29-9383dae37406

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