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Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations

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dc.contributor.author Muthaiah, Subramanian
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Thangaraj, Nandha Gopal
dc.date.accessioned 2022-04-21T12:41:26Z
dc.date.available 2022-04-21T12:41:26Z
dc.date.issued 2021-10-09
dc.identifier.citation Muthaiah, Subramanian; Baleanu, Dumitru; Thangaraj, Nandha Gopal (2021). "Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations", AIMS Mathematics, Vol. 6, No. 1, pp. 168-194. tr_TR
dc.identifier.issn 2473-6988
dc.identifier.uri http://hdl.handle.net/20.500.12416/5411
dc.description.abstract This paper aims to present the existence, uniqueness, and Hyers-Ulam stability of the coupled system of nonlinear fractional differential equations (FDEs) with multipoint and nonlocal integral boundary conditions. The fractional derivative of the Caputo-Hadamard type is used to formulate the FDEs, and the fractional integrals described in the boundary conditions are due to Hadamard. The consequence of existence is obtained employing the alternative of Leray-Schauder, and Krasnoselskii’s, whereas the uniqueness result, is based on the principle of Banach contraction mapping. We examine the stability of the solutions involved in the Hyers-Ulam type. A few examples are presented as an application to illustrate the main results. Finally, it addresses some variants of the problem. © 2021 the Author(s), licensee AIMS Press. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2021012 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo-Hadamard Derivatives tr_TR
dc.subject Coupled System tr_TR
dc.subject Hadamard Integrals tr_TR
dc.subject Multi-Points tr_TR
dc.title Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 6 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 168 tr_TR
dc.identifier.endpage 194 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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