AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (258 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

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

Qing Yang, Chuanzhi Bai, Dandan Yang( )
Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, China
Show Author Information

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.

Keywords

ψ-Hilfer fractional derivativegeneralized Gronwall's inequalityfinite time stability
CLC number: 26A33, 34A08, 34D20, 34F05, 60J65

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 18837-18852
DOI: 10.3934/math.20221037

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Yang Q, Bai C, Yang D. Finite-time stability of nonlinear stochastic ψ-Hilfer fractional systems with time delay. AIMS Mathematics, 2022, 7(10): 18837-18852. https://doi.org/10.3934/math.20221037

36

Views

0

Downloads

8

Crossref

7

Web of Science

7

Scopus
Received: 19 July 2022
Revised: 15 August 2022
Accepted: 18 August 2022
Published: 15 October 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)