Stability results for neutral fractional stochastic differential equations

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 theor...

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Published inAIMS mathematics Vol. 9; no. 2; pp. 3253 - 3263
Main Authors Kahouli, Omar, Albadran, Saleh, Elleuch, Zied, Bouteraa, Yassine, Makhlouf, Abdellatif Ben
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
fractional calculus
stochastic systems
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024158