On a study for the neutral Caputo fractional multi-delayed differential equations with noncommutative coefficient matrices

Mustafa Aydin and Nazim I. Mahmudov

Chaos, Solitons & Fractals, 2022, vol. 161, issue C

Abstract: The representation of a solution to a neutral linear fractional multiple-delay differential inhomogeneous system with non-commutative coefficient matrices is studied using a multiple-delay perturbation of a matrix function of the Mittag-Leffler type. Second, the existence and uniqueness of the solution are discussed along with the Ulam-Hyers stability of a semilinear neutral fractional differential with multiple delays. Thirdly, with the help of the Krasnoselskii's fixed point theorem, a sufficient condition for the relative controllability of a semilinear neutral fractional differential system with multiple-delay is obtained. Numerical examples confirm the theoretical conclusions.

Keywords: Fractional derivative; Fractional neutral multi-delayed differential equation; Neutral multi-delay perturbation; Existence and uniqueness of solutions; Stability; Relative controllability (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005823

DOI: 10.1016/j.chaos.2022.112372

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