Stability results for neutral fractional stochastic differential equations

Omar Kahouli; Saleh Albadran; Zied Elleuch; Yassine Bouteraa; Abdellatif Ben Makhlouf

doi:10.3934/math.2024158

Stability results for neutral fractional stochastic differential equations

Omar Kahouli, Saleh Albadran, Zied Elleuch, Yassine Bouteraa, Abdellatif Ben Makhlouf

Computer Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	3253-3263
Number of pages	11
Journal	AIMS Mathematics
Volume	9
Issue number	2
DOIs	https://doi.org/10.3934/math.2024158
State	Published - 2024

Keywords

fractional calculus
stochastic systems

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10.3934/math.2024158

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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.",

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AU - Elleuch, Zied

AU - Bouteraa, Yassine

AU - Ben Makhlouf, Abdellatif

PY - 2024

Y1 - 2024

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AB - 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.

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KW - stochastic systems

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Stability results for neutral fractional stochastic differential equations

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