Jarad, F.Bahaa, G.M.Abdeljawad, T.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-11-102025-09-182022-11-102025-09-182019Bahaa, G.M.; Abdeljawad, Thabet; Jarad, Fahd (2019). "On Mittag-Leffler Kernel-Dependent Fractional Operators with Variable Order", Trends in Mathematics, pp. 41-58.2297-0215https://doi.org/10.1007/978-981-13-9227-6_3https://hdl.handle.net/20.500.12416/14310In 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.eninfo:eu-repo/semantics/closedAccessBook Part10.1007/978-981-13-9227-6_32-s2.0-85071374274