@article{Yang2022, 
author = {Qing Yang and Chuanzhi Bai and Dandan Yang},
title = {Finite-time stability of nonlinear stochastic    ψ-Hilfer fractional systems with time delay},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {10},
pages = {18837-18852},
keywords = {ψ-Hilfer fractional derivative, generalized Gronwall's inequality, finite time stability},
url = {https://www.sciopen.com/article/10.3934/math.20221037},
doi = {10.3934/math.20221037},
abstract = {In this paper, we study the finite time stability of stochastic    ψ-Hilfer fractional-order time-delay systems. Under the stochastic analysis techniques and the generalized Gronwall's inequality for    ψ-fractional derivative, the criterion of finite time stability of the solution for nonlinear stochastic    ψ-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.}
}