Unique Solution Analysis for Generalized Caputo-Type Fractional BVP via Banach Contraction

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dc.contributor.authorZouaoui Bekri
dc.contributor.authorSarah Aljohani
dc.contributor.authorMohammad Esmael Samei
dc.contributor.authorAli Akgül
dc.contributor.authorAbdelkader Belhenniche
dc.contributor.authorAhmad Aloqaily
dc.contributor.authorNabil Mlaiki
dc.date.accessioned2025-06-13T12:31:05Z
dc.date.available2025-06-13T12:31:05Z
dc.date.issued2025-05-02
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this manuscript, we investigate the existence of a unique solution to a boundary value problem (BVP) involving generalized fractional derivatives of the Caputo type. Our approach is grounded in the Banach contraction mapping theorem, which provides a rigorous framework for proving the existence of a fixed point and, consequently, a solution to the BVP. We extend this methodology to explore analogous problems, offering further insights and interpretations of the results derived from the main theorem. This work not only contributes to the theoretical understanding of fractional differential equations but also demonstrates how these techniques can be applied to a broader class of problems in mathematical physics and engineering. Through detailed analysis and extrapolation, we aim to establish a deeper connection between fractional calculus and fixed-point theory, providing a foundation for future research in this area.
dc.identifier.citationBekri, Z., Aljohani, S., Samei, M. E., Akg, A., Belhenniche, A., Aloqaily, A., & Mlaiki, N. (2025). Unique Solution Analysis for Generalized Caputo-Type Fractional BVP via Banach Contraction. European Journal of Pure and Applied Mathematics, 18(2), 5979-5979.
dc.identifier.doi10.29020/nybg.ejpam.v18i2.5979
dc.identifier.issn1307-5543
dc.identifier.issue2
dc.identifier.urihttps://doi.org/10.29020/nybg.ejpam.v18i2.5979
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8719
dc.identifier.volume18
dc.identifier.wos001500598000043
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.language.isoen
dc.publisherNew York Business Global LLC
dc.relation.ispartofEuropean Journal of Pure and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBanach contraction theorem
dc.subjectGeneralized Caputo fractional derivative
dc.subjectBoundary value problem
dc.subjectExistence and uniqueness
dc.titleUnique Solution Analysis for Generalized Caputo-Type Fractional BVP via Banach Contraction
dc.typejournal-article
oaire.citation.issue2
oaire.citation.volume18

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