On Mittag-Leffler Kernel-Dependent Fractional Operators with Variable Order

Bahaa, G.M.; Abdeljawad, Thabet; Jarad, Fahd

dc.contributor.author	Bahaa, G.M.
dc.contributor.author	Abdeljawad, Thabet
dc.contributor.author	Jarad, Fahd
dc.date.accessioned	2022-11-10T10:47:24Z
dc.date.available	2022-11-10T10:47:24Z
dc.date.issued	2019
dc.identifier.citation	Bahaa, G.M.; Abdeljawad, Thabet; Jarad, Fahd (2019). "On Mittag-Leffler Kernel-Dependent Fractional Operators with Variable Order", Trends in Mathematics, pp. 41-58.	tr_TR
dc.identifier.issn	2297-0215
dc.identifier.uri	http://hdl.handle.net/20.500.12416/5839
dc.description.abstract	In this work, integration by parts formulas for variable-order fractional operators with Mittag-Leffler kernels are presented and applied to study constrained fractional variational principles involving variable-order Caputo-type Atangana–Baleanu’s derivatives, where the variable-order fractional Euler–Lagrange equations are investigated. A general formulation of fractional Optimal Control Problems (FOCPs) and a solution scheme for such class of systems are proposed. The performance index of a FOCP is taken into consideration as function of state as well as control variables. © 2019, Springer Nature Singapore Pte Ltd.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1007/978-981-13-9227-6_3	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.title	On Mittag-Leffler Kernel-Dependent Fractional Operators with Variable Order	tr_TR
dc.type	article	tr_TR
dc.contributor.authorID	234808	tr_TR
dc.identifier.startpage	41	tr_TR
dc.identifier.endpage	58	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR