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On dynamic systems in the frame of singular function dependent kernel fractional derivatives

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dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Madjidi, Fadila
dc.contributor.author Jarad, Fahd
dc.contributor.author Sene, Ndolane
dc.date.accessioned 2024-04-29T12:21:57Z
dc.date.available 2024-04-29T12:21:57Z
dc.date.issued 2019-10-01
dc.identifier.citation Abdeljawad, Thabet;...et.al. (2019). "On dynamic systems in the frame of singular function dependent kernel fractional derivatives", Mathematics, Vol.7, No.10. tr_TR
dc.identifier.issn 22277390
dc.identifier.uri http://hdl.handle.net/20.500.12416/8060
dc.description.abstract In this article, we discuss the existence and uniqueness theorem for differential equations in the frame of Caputo fractional derivatives with a singular function dependent kernel. We discuss the Mittag-Leffler bounds of these solutions. Using successive approximation, we find a formula for the solution of a special case. Then, using a modified Laplace transform and the Lyapunov direct method, we prove the Mittag-Leffler stability of the considered system. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3390/math7100946 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Generalized Fractional Operators tr_TR
dc.subject Mittag-Leffler Bound tr_TR
dc.subject Mittag-Leffler Stability tr_TR
dc.title On dynamic systems in the frame of singular function dependent kernel fractional derivatives tr_TR
dc.type article tr_TR
dc.relation.journal Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 10 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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