Finite-Time Stability of Impulsive Fractional Differential Equations with Pure Delays

被引：1

作者：

Xie, Tingting ^{[1
]}

Li, Mengmeng ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math & Stat, Guiyang 550025, Peoples R China

来源：

AXIOMS | 2023年 / 12卷 / 12期

基金：

中国国家自然科学基金;

关键词：

fractional delay differential equations; impulsive delayed Mittag-Leffler-type vector function; finite-time stability; NEURAL-NETWORKS; EPIDEMIC MODEL; VACCINATION; SYSTEMS;

D O I：

10.3390/axioms12121129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces a novel concept of the impulsive delayed Mittag-Leffler-type vector function, an extension of the Mittag-Leffler matrix function. It is essential to seek explicit formulas for the solutions to linear impulsive fractional differential delay equations. Based on explicit formulas of the solutions, the finite-time stability results of impulsive fractional differential delay equations are presented. Finally, we present four examples to illustrate the validity of our theoretical results.

引用

页数：18

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