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

被引：8

作者：

Aydin, Mustafa ^{[1
,2
]}

Mahmudov, Nazim I. ^{[2
]}

机构：

[1] Istanbul Tech Univ, Dept Math, TR-34469 Sariyer, Istanbul, Turkey

[2] Eastern Mediterranean Univ, Dept Math, 99628 Famagusta, TR North Cyprus, Turkey

来源：

CHAOS SOLITONS & FRACTALS | 2022年 / 161卷

关键词：

Fractional derivative; Fractional neutral multi-delayed differential equation; Neutral multi-delay perturbation; Existence and uniqueness of solutions; Stability; Relative controllability; FINITE-TIME STABILITY; CONTROLLABILITY; SYSTEMS; REPRESENTATION; MODEL;

D O I：

10.1016/j.chaos.2022.112372

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2022 Elsevier Ltd.

引用

页数：11

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