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Existence and uniqueness results for a two-point nonlinear boundary value problem of Caputo fractional differential equations of variable order

dc.contributor.authorAwad, Yahia Abdul Rahmanen_US
dc.contributor.authorFakih, Hussein Mahmoud
dc.date.accessioned2024-07-20T09:26:16Z
dc.date.available2024-07-20T09:26:16Z
dc.date.issued2024-07
dc.identifier.citationAwad, Y. A. R. & Fakih, H. M. (2024). Existence and uniqueness results for a two-point nonlinear boundary value problem of Caputo fractional differential equations of variable order. TWMS Journal of Applied and Engineering Mathematics, 14(3), 1068-1084en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://jaem.isikun.edu.tr/web/index.php/archive/125-vol14no3/1238
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6073
dc.description.abstractIn this article, we study the existence and uniqueness of solutions for a twopoint boundary value problem of Caputo fractional differential equation of variable order. The results are obtained by means of Banach’s and Krasnoselskii’s fixed point theorems. In addition, the obtained results are illustrated with the aid of a numerical example.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectCaputo derivatives and integrals of variable-orderen_US
dc.subjectBoundary value problemsen_US
dc.subjectExistence and uniqueness of solutionsen_US
dc.subjectPiecewise constant functionsen_US
dc.subjectGreen’s functionen_US
dc.titleExistence and uniqueness results for a two-point nonlinear boundary value problem of Caputo fractional differential equations of variable orderen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume14
dc.identifier.issue3
dc.identifier.startpage1068
dc.identifier.endpage1084
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US


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