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Nonlinear generalized fractional differential equations with generalized fractional integral conditions

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dc.contributor.author Belmor, Samiha
dc.contributor.author Ravichandran, Chokkalingam
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2022-08-24T08:34:55Z
dc.date.available 2022-08-24T08:34:55Z
dc.date.issued 2021-01-01
dc.identifier.citation Belmor, Samiha; Ravichandran, Chokkalingam; Jarad, Fahd (2021). "Nonlinear generalized fractional differential equations with generalized fractional integral conditions", JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, Vol. 14, No. 1, pp. 114-123. tr_TR
dc.identifier.issn 1658-3655
dc.identifier.uri http://hdl.handle.net/20.500.12416/5759
dc.description.abstract This research work is dedicated to an investigation of the existence and uniqueness of a class of nonlinear psi-Caputo fractional differential equation on a finite interval , equipped with nonlinear psi-Riemann-Liouville fractional integral boundary conditions of different orders , we deal with a recently introduced psi-Caputo fractional derivative of order . The formulated problem will be transformed into an integral equation with the help of Green function. A full analysis of existence and uniqueness of solutions is proved using fixed point theorems: Leray-Schauder nonlinear alternative, Krasnoselskii and Schauder's fixed point theorems, Banach's and Boyd-Wong's contraction principles. We show that this class generalizes several other existing classes of fractional-order differential equations, and therefore the freedom of choice of the standard fractional operator. As an application, we provide an example to demonstrate the validity of our results. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1080/16583655.2019.1709265 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Psi-Fractional Integral tr_TR
dc.subject Psi-Riemann-Liouville Fractional Derivative tr_TR
dc.subject Psi-Caputo Fractional Derivative tr_TR
dc.title Nonlinear generalized fractional differential equations with generalized fractional integral conditions tr_TR
dc.type article tr_TR
dc.relation.journal JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 14 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 114 tr_TR
dc.identifier.endpage 123 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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