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

Jarad, Fahd; Abdeljawad, Thabet; Hammouch, Zakia

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