Finite-Time Stability of Linear Conformable Stochastic Differential Equation with Finite Delay-Reference-Cited by-同舟云学术

Finite-Time Stability of Linear Conformable Stochastic Differential Equation with Finite Delay

Published:2023-07-20 Issue: Volume:2023 Page:1-9
ISSN:1099-0526
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Rhaima Mohamed¹^ORCID,Mchiri Lassaad²^ORCID,Ben Makhlouf A.³^ORCID

Affiliation:

1. Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia

2. ENSIIE, University of Evry-Val-d’Essonne, 1 Square de la Résistance, 91025 Évry-Courcouronnes Cedex, France

3. University of Sfax, Faculty of Sciences of Sfax, Department of Mathematics, Sfax, Tunisia

Abstract

This paper investigates the finite-time stability (FTS) of a linear conformable stochastic differential equation with finite delay (LCSDEwFD). We use the Banach fixed point theorem (BFPT) to prove the existence and uniqueness of the solution and analyze the FTS of the system using the Gronwall inequalities. To demonstrate the practical value of our approach, we provide two numerical examples that showcase the relevance and effectiveness of our theoretical results.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2023/9713757.pdf

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