On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel

Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba

dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Jajarmi, Amin
dc.contributor.author	Hajipour, Mojtaba
dc.date.accessioned	2020-03-24T11:22:03Z
dc.date.available	2020-03-24T11:22:03Z
dc.date.issued	2018-10
dc.identifier.citation	Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba, "On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel", Nonlinear Dynamics, Vol. 94, No. 1, pp. 397-414, (2018).	tr_TR
dc.identifier.issn	1573-269X
dc.identifier.uri	http://hdl.handle.net/20.500.12416/2723
dc.description.abstract	The purpose of this paper is to study the existence and uniqueness of the solution of nonlinear fractional differential equations with Mittag-Leffler nonsingular kernel. Two numerical methods to solve this problem are designed, and their stability and error estimates are investigated by discretizing the convolution integral and using the Gronwall's inequality. Finally, the theoretical results are verified by using five illustrative examples.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Springer	tr_TR
dc.relation.isversionof	10.1007/s11071-018-4367-y	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Fractional Differential Equation	tr_TR
dc.subject	Mittag-Leffler Function	tr_TR
dc.subject	Nonsingular Kernel	tr_TR
dc.subject	Numerical Method D	tr_TR
dc.title	On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Nonlinear Dynamics	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	94	tr_TR
dc.identifier.issue	1	tr_TR
dc.identifier.startpage	397	tr_TR
dc.identifier.endpage	414	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR