A new approach for solving multi variable orders differential equations with Mittag–Leffler kernel

R.M. Ganji, H. Jafari and D. Baleanu

Chaos, Solitons & Fractals, 2020, vol. 130, issue C

Abstract: In 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.

Keywords: Fractional derivative; Atangana-Baleanu-Caputo derivative; Multi variable order; The fifth-kind Chebyshev polynomials; Collocation method (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303406

DOI: 10.1016/j.chaos.2019.109405

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