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Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces

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dc.contributor.author Keten, Ayşegül
dc.contributor.author Yavuz, Mehmet
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2019-12-27T12:17:00Z
dc.date.available 2019-12-27T12:17:00Z
dc.date.issued 2019-06
dc.identifier.citation Keten, Aysegul; Yavuz, Mehmet; Baleanu, Dumitru, "Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces", Fractal and Fractional, Vol. 3, No. 2, (June 2019) tr_TR
dc.identifier.issn 2504-3110
dc.identifier.uri http://hdl.handle.net/20.500.12416/2321
dc.description.abstract We investigated existence and uniqueness conditions of solutions of a nonlinear differential equation containing the Caputo-Fabrizio operator in Banach spaces. The mentioned derivative has been proposed by using the exponential decay law and hence it removed the computational complexities arising from the singular kernel functions inherit in the conventional fractional derivatives. The method used in this study is based on the Banach contraction mapping principle. Moreover, we gave a numerical example which shows the applicability of the obtained results. tr_TR
dc.language.iso eng tr_TR
dc.publisher MDPI tr_TR
dc.relation.isversionof 10.3390/fractalfract3020027 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Existence-Uniqueness Conditions tr_TR
dc.subject Nonlocal Cauchy Problem tr_TR
dc.subject Caputo-Fabrizio Fractional Derivative tr_TR
dc.subject Banach Space tr_TR
dc.title Nonlocal Cauchy Problem via a Fractional Operator Involving Power Kernel in Banach Spaces tr_TR
dc.type article tr_TR
dc.relation.journal Fractal and Fractional tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 3 tr_TR
dc.identifier.issue 2 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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