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Boundary value problem of weighted fractional derivative of a function with a respect to another function of variable order

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dc.contributor.author Benia, Kheireddine
dc.contributor.author Souid, Mohammed Said
dc.contributor.author Jarad, Fahd
dc.contributor.author Alqudah, Manar A.
dc.contributor.author Abdeljawad, Thabet
dc.date.accessioned 2024-05-29T13:09:39Z
dc.date.available 2024-05-29T13:09:39Z
dc.date.issued 2023
dc.identifier.citation Benia, Kheireddine...et al. (2023). "Boundary value problem of weighted fractional derivative of a function with a respect to another function of variable order", Journal of Inequalities and Applications, Vol. 2023, No. 1. tr_TR
dc.identifier.issn 1025-5834
dc.identifier.uri http://hdl.handle.net/20.500.12416/8428
dc.description.abstract This study aims to resolve weighted fractional operators of variable order in specific spaces. We establish an investigation on a boundary value problem of weighted fractional derivative of one function with respect to another variable order function. It is essential to keep in mind that the symmetry of a transformation for differential equations is connected to local solvability, which is synonymous with the existence of solutions. As a consequence, existence requirements for weighted fractional derivative of a function with respect to another function of constant order are necessary. Moreover, the stability with in Ulam–Hyers–Rassias sense is reviewed. The outcomes are derived using the Kuratowski measure of non-compactness. A model illustrates the trustworthiness of the observed results. © 2023, Springer Nature Switzerland AG. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13660-023-03042-9 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Boundary Value Problem tr_TR
dc.subject Derivatives and Integrals of Variable Order tr_TR
dc.subject Fixed Point Theorem tr_TR
dc.subject Measure of Non-Compactness tr_TR
dc.subject Weighted Fractional Integrals tr_TR
dc.subject Weighted Spaces of Summable Functions tr_TR
dc.title Boundary value problem of weighted fractional derivative of a function with a respect to another function of variable order tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Inequalities and Applications tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 2023 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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