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Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system

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dc.contributor.author Khan, Hasib
dc.contributor.author Khan, Aziz
dc.contributor.author Jarad, Fahd
dc.contributor.author Shah, Anwar
dc.date.accessioned 2022-04-21T12:41:21Z
dc.date.available 2022-04-21T12:41:21Z
dc.date.issued 2020-02
dc.identifier.citation Khan, Hasib...et al. (2020). "Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system", Chaos, Solitons and Fractals, Vol. 131. tr_TR
dc.identifier.issn 0960-0779
dc.identifier.uri http://hdl.handle.net/20.500.12416/5410
dc.description.abstract The study of existence of solution ensures the essential conditions required for a solution. Keeping the importance of the study, we initiate the existence, uniqueness and data dependence of solutions an Atangana-Baleanu-Caputo (ABC)-fractional order differential impulsive system. For this purpose, the suggested ABC-fractional order differential impulsive system is transferred into equivalent fixed point problem via integral operator. The operator is then analyzed for boundedness, continuity and equicontinuity. Then Arzela-Ascolli theorem ensures the relatively compactness of the operator and the Schauder's fixed point theorem and Banach's fixed point theorem are utilized for the existence and uniqueness of solution. Data dependence and expressive application are also provided. © 2019 Elsevier Ltd tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.chaos.2019.109477 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject ABC-Fractional Order Impulsive System tr_TR
dc.subject Data Dependence tr_TR
dc.subject Existence and Uniqueness of Solution tr_TR
dc.title Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system tr_TR
dc.type article tr_TR
dc.relation.journal Chaos, Solitons and Fractals tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 131 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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