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

被引：12
|
作者：
He, Bin-Bin [1 ]
Zhou, Hua-Cheng [2 ]
Kou, Chun-Hai [3 ]
机构：
[1] Zhejiang Univ Technol, Coll Sci, Hangzhou 310023, Zhejiang, Peoples R China
[2] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
[3] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2022年 / 25卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Hadamard system; Caputo-Hadamard system; Stability; Fractional Lyapunov method; Fractional Halanay inequality; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; LYAPUNOV FUNCTIONS; INEQUALITIES; CALCULUS; DYNAMICS; CREEP;
D O I：
10.1007/s13540-022-00106-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：2420 / 2445
页数：26
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