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Research Article | Open Access

Stability results for neutral fractional stochastic differential equations

Omar Kahouli1( ), Saleh Albadran2, Zied Elleuch3, Yassine Bouteraa4, Abdellatif Ben Makhlouf5
Department of Electronics Engineering, Applied College, University of Ha'il, Ha'il 2440, Saudi Arabia
Department of Electrical Engineering, College of Engineering, University of Ha'il, Ha'il 2440, Saudi Arabia
Department of Computer Science, Applied College, University of Ha'il, Ha'il 2440, Saudi Arabia
Department of Computer Engineering, College of Computer Engineering and sciences, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia
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Abstract

Many techniques have been recently employed by researchers to address the challenges posed by fractional differential equations. In this paper, we investigate the concept of Ulam-Hyers stability for a class of neutral fractional stochastic differential equations by using the Banach fixed point theorem and the stochastic analysis techniques. An example is presented at the end of the paper to show the interest and the applicability of the results.

Keywords

fractional calculusstochastic systems
CLC number: 26A33, 39B82, 60H10

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AIMS Mathematics
Volume 9 Issue 2,
February 2024
Pages 3253-3263
DOI: 10.3934/math.2024158

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Cite this article:
Kahouli O, Albadran S, Elleuch Z, et al. Stability results for neutral fractional stochastic differential equations. AIMS Mathematics, 2024, 9(2): 3253-3263. https://doi.org/10.3934/math.2024158

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Received: 13 September 2023
Revised: 01 November 2023
Accepted: 10 November 2023
Published: 15 February 2024
©2024 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)