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

Author:

Rhaima Mohamed1ORCID,Mchiri Lassaad2ORCID,Ben Makhlouf A.3ORCID

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

Reference27 articles.

1. Fractional Calculus and Its Applications

2. A new definition of fractional derivative;R. Khalil;Journal of Applied & Computational Mathematics,2014

3. On conformable fractional calculus;T. Abdeljawad

4. A generalized Lyapunov-type inequality in the frame of conformable derivatives;T. Abdeljawad;Advances in Difference Equations,2017

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