Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay

被引：0
|
作者：
Bin-Bin He
Hua-Cheng Zhou
Chun-Hai Kou
机构：
[1] Zhejiang University of Technology,College of Science
[2] Central South University,School of Mathematics and Statistics, HNP
[3] Donghua University,LAMA
来源：
Fractional Calculus and Applied Analysis | 2022年 / 25卷
关键词：
Hadamard system; Caputo-Hadamard system; Stability; Fractional Lyapunov method; Fractional Halanay inequality; 26A33; 34A08; 37B25; 34K37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper handles with the Hadamard and the Caputo-Hadamard fractional derivative and stability of related systems without and with delay. Firstly, the derivative inequalities are obtained, which is indispensable in applying the theorems derived in this paper. Then, for systems without delay, we get the stability results by using the Lyapunov direct method and for systems with delay, we explore two useful inequalities to verify the stability. Examples are presented with numerical simulations to illustrate the effectiveness of our results.
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页码：2420 / 2445
页数：25
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