首页|Relative controllability analysis of fractional order differential equations with multiple time delays

Relative controllability analysis of fractional order differential equations with multiple time delays

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This paper is concerned with the relative controllability for a class of fractional differential equations with multiple time delays. The solution representation is introduced for this system via multiple delayed perturbations of Mittag-Leffler function. Necessary and sufficient conditions for the indicated problem to be relatively controllable are established for linear and non-linear systems. For non-linear case, the existence result is proved by using Krasnoselskii's fixed point theorem. Numerical examples are given to illustrate the theoretical results, and its diagrammatic formulations are done by MATLAB.(c) 2022 Elsevier Inc. All rights reserved.

Caputo fractional derivativeDelayed perturbationMittag-Leffler functionsRelative controllabilityGrammian matrixSYSTEMS

Vadivoo, B. S.、Jothilakshmi, G.、Almalki, Y.、Debbouche, A.、Lavanya, M.

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Alagappa Univ

King Khalid Univ

Guelma Univ

2022

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN:0096-3003
年,卷(期):2022.428
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