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On the solution of a boundary value problem associated with a fractional differential equation

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dc.contributor.author Sevinik Adigüzel, Rezan
dc.contributor.author Aksoy, Ümit
dc.contributor.author Karapınar, Erdal
dc.contributor.author Erhan, İnci M.
dc.date.accessioned 2022-11-30T08:40:01Z
dc.date.available 2022-11-30T08:40:01Z
dc.date.issued 2020
dc.identifier.citation Sevinik Adigüzel, Rezan...et al. (2020). "On the solution of a boundary value problem associated with a fractional differential equation", Mathematical Methods in the Applied Sciences. tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/5882
dc.description.abstract The problem of the existence and uniqueness of solutions of boundary value problems (BVPs) for a nonlinear fractional differential equation of order 2<α ≤ 3 is studied. The BVP is transformed into an integral equation and discussed by means of a fixed point problem for an integral operator. Conditions for the existence and uniqueness of a fixed point for the integral operator are derived via b-comparison functions on complete b-metric spaces. In addition, estimates for the convergence of the Picard iteration sequence are given. An estimate for the Green's function related with the problem is provided and employed in the proof of the existence and uniqueness theorem for the solution of the given problem. Illustrative examples are presented to support the theoretical results. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1002/mma.6652 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject B-Metric tr_TR
dc.subject Comparison Function tr_TR
dc.subject Fixed Point tr_TR
dc.subject Fractional Differential Equation tr_TR
dc.title On the solution of a boundary value problem associated with a fractional differential equation tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods in the Applied Sciences tr_TR
dc.contributor.authorID 19184 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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