Finite-time stability of nonlinear stochastic ?-Hilfer fractional systems with time delay

被引：3
作者：
Yang, Qing [1 ]
Bai, Chuanzhi [1 ]
Yang, Dandan [1 ]
机构：
[1] Huaiyin Normal Univ, Dept Math, Huaian 223300, Jiangsu, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 10期
关键词：
-Hilfer fractional derivative; generalized Gronwall?s inequality; finite time stability; EXISTENCE;
D O I：
10.3934/math.20221037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the finite time stability of stochastic psi-Hilfer fractional-order time -delay systems. Under the stochastic analysis techniques and the generalized Gronwall's inequality for psi-fractional derivative, the criterion of finite time stability of the solution for nonlinear stochastic psi-Hilfer fractional systems with time delay is obtained. An example is provided to illustrate the effectiveness of the proposed methods. Some known results in the literature are extended.
引用
收藏
页码：18837 / 18852
页数：16
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