Jarad, FahdAlqudah, Manar A.Abdeljawad, ThabetBenia, KheireddineSouid, Mohammed Said02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-05-292025-09-182024-05-292025-09-182023Benia, 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. 1.1029-242Xhttps://doi.org/10.1186/s13660-023-03042-9https://hdl.handle.net/123456789/12429Mohammed Said, Souid/0000-0002-4342-5231This 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.eninfo:eu-repo/semantics/openAccessWeighted Fractional IntegralsWeighted Spaces Of Summable FunctionsFixed Point TheoremDerivatives And Integrals Of Variable OrderBoundary Value ProblemMeasure Of Non-CompactnessArticle10.1186/s13660-023-03042-92-s2.0-85173710659