Approximation of sequential fractional systems of Liouville–Caputo type by discrete delta difference operators

Musawa Yahya Almusawa and Pshtiwan Othman Mohammed

Chaos, Solitons & Fractals, 2023, vol. 176, issue C

Abstract: We present the Liouville–Caputo fractional difference method for the numerical evolution of the sequential differential equation of fractional order. Meanwhile, some binomial coefficients are considered in discrete fractional calculus to find and determine the corresponding sequence of continuous fractional order equations. Finally, a standard numerical test is offered in detail to demonstrate the validity of the main theorem.

Keywords: Discrete fractional calculus; Liouville–Caputo fractional operators; Sequential fractional systems (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923009992

DOI: 10.1016/j.chaos.2023.114098

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