Finite-Time Stability for Nonlinear Fractional Differential Equations with Time Delay
Finite-Time Stability for Nonlinear Fractional Differential Equations with Time Delay作者机构：College of ScienceDonghua UniversityShanghai 201620China
出 版 物：《Journal of Donghua University(English Edition)》 (东华大学学报（英文版）)
年 卷 期：2022年第39卷第5期
页 面：446-453页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：Natural Science Foundation of Shanghai China (No.19ZR1400500)
主 题：finite-time stability nonlinear fractional differential equation time delay Caputo fractional Dini derivative Lyapunov-Razumikhin method
摘 要：The finite-time stability and the finite-time contractive stability of solutions for nonlinear fractional differential equations with bounded delay are investigated. The derivative of Lyapunov function along solutions of the considered system is defined in terms of the Caputo fractional Dini derivative. Based on the Lyapunov-Razumikhin method, several sufficient criteria are established to guarantee the finite-time stability and the finite-time contractive stability of solutions for the related systems. An example is provided to illustrate the effectiveness of the obtained results.
维普期刊数据库
同方期刊数据库