Finite-time stability of nonlinear stochastic ψ " role="presentation"> ψ ψ \psi -Hilfer fractional systems with time delay

AIMS Mathematics

article

Qing Yang¹  Chuanzhi Bai¹  Dandan Yang¹ 

[1] Department of Mathematics, Huaiyin Normal University

关键词: $ \psi $-Hilfer fractional derivative;    generalized Gronwall's inequality;    finite time stability;   

DOI  :  10.3934/math.20221037

学科分类：地球科学(综合)

来源: AIMS Press

【 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.

【 授权许可】

CC BY