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

Abdeljawad, Thabet; Madjidi, Fadila; Jarad, Fahd; Sene, Ndolane

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