Jafari, H.Baleanu, D.Ganji, R. M.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2020-04-302025-09-182020-04-302025-09-182020Ganji, R.M.; Jafari, H.; Baleanu, Dumitru; "A New Approach for Solving Multi Variable Orders Differential Equations With Mittag–Leffler Kernel", Chaos, Solitons and Fractals, Vol. 130, (2020).0960-07791873-2887https://doi.org/10.1016/j.chaos.2019.109405https://hdl.handle.net/20.500.12416/13893Moallem Ganji, Roghayeh/0000-0002-0268-7358; Jafari, Hossein/0000-0001-6807-6675In this paper we consider multi variable orders differential equations (MVODEs) with non-local and no-singular kernel. The derivative is described in Atangana and Baleanu sense of variable order. We use the fifth-kind Chebyshev polynomials as basic functions to obtain operational matrices. We transfer the original equations to a system of algebraic equations using operational matrices and collocation method. The convergence analysis of the presented method is discussed. Few examples are presented to show the efficiency of the presented method. (C) 2019 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional DerivativeAtangana-Baleanu-Caputo DerivativeMulti Variable OrderThe Fifth-Kind Chebyshev PolynomialsCollocation MethodArticle10.1016/j.chaos.2019.1094052-s2.0-85073284399