On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics

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dc.contributor.authorSamraiz, Muhammad
dc.contributor.authorUmer, Muhammad
dc.contributor.authorNaheed, Saima
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.contributor.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.date.accessioned2024-09-18T10:59:43Z
dc.date.available2024-09-18T10:59:43Z
dc.date.issued2023
dc.description.abstractIn recent study, we develop the weighted generalized Hilfer-Prabhakar fractional derivative operator and explore its key properties. It unifies many existing fractional derivatives like Hilfer-Prabhakar and Riemann-Liouville. The weighted Laplace transform of the newly defined derivative is obtained. By involving the new fractional derivative, we modeled the free-electron laser equation and kinetic equation and then found the solutions of these fractional equations by applying the weighted Laplace transform.tr_TR
dc.identifier.citationSamraiz, Muhammad...et al (2023). "On Weighted Fractional Operators with Applications to Mathematical Models Arising in Physics", Lecture Notes in Networks and Systems, 5th International Conference On Mathematical Modelling, Applied Analysis And Computation, ICMMAAC 2022, Vol. 666, pp. 53-68.tr_TR
dc.identifier.endpage68tr_TR
dc.identifier.startpage53tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8504
dc.identifier.volume666tr_TR
dc.language.isoengtr_TR
dc.relation.journalLecture Notes in Networks and Systemstr_TR
dc.rightsinfo:eu-repo/semantics/closedAccesstr_TR
dc.subjectFractional Kinetic Equationtr_TR
dc.subjectFree-Electron Laser Equationtr_TR
dc.subjectWeighted Hilfer-Prabhakar Fractional Derivativetr_TR
dc.subjectWeighted Laplace Transformtr_TR
dc.titleOn Weighted Fractional Operators with Applications to Mathematical Models Arising in Physicstr_TR
dc.typeconferenceObjecttr_TR

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