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ON THE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS VIA GERAGHTY TYPE HYBRID CONTRACTIONS

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dc.contributor.author Adiguzel, Rezan Sevinik
dc.contributor.author Aksoy, Umit
dc.contributor.author Karapınar, Erdal
dc.contributor.author Erhan, Inci M.
dc.date.accessioned 2022-11-30T08:39:56Z
dc.date.available 2022-11-30T08:39:56Z
dc.date.issued 2021
dc.identifier.citation Adiguzel, Rezan Sevinik...et al. (2021). "ON THE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS VIA GERAGHTY TYPE HYBRID CONTRACTIONS", APPLIED AND COMPUTATIONAL MATHEMATICS, Vol. 20, No. 2, pp. 313-333. tr_TR
dc.identifier.issn 1683-3511
dc.identifier.issn 1683-6154
dc.identifier.uri http://hdl.handle.net/20.500.12416/5881
dc.description.abstract The aim of this article is twofold. Firstly, to study fixed points of mappings on b metric spaces satisfying a general contractive condition called Geraghty type hybrid contraction. Secondly, to apply the theoretical results to the problem of existence and uniqueness of solutions of boundary value problems with integral boundary conditions associated with a certain type of nonlinear fractional differential equations. The conditions for the existence of fixed points for Geraghty type hybrid contractions are determined and several consequences of the main results are deduced. Some examples on boundary value problems for nonlinear fractional differential equations of order 3 < alpha <= 4 are provided, where the existence and uniqueness of solutions are shown by using Geraghty type contractions. tr_TR
dc.language.iso eng tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fixed Point tr_TR
dc.subject B-Metric Space tr_TR
dc.subject Fractional Differential Equations tr_TR
dc.title ON THE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS VIA GERAGHTY TYPE HYBRID CONTRACTIONS tr_TR
dc.type article tr_TR
dc.relation.journal APPLIED AND COMPUTATIONAL MATHEMATICS tr_TR
dc.contributor.authorID 19184 tr_TR
dc.identifier.volume 20 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 313 tr_TR
dc.identifier.endpage 333 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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