Ulam–Hyers stability for an impulsive Caputo–Hadamard fractional neutral stochastic differential equations with infinite delay

Mohamed Rhaima

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 210, issue C, 281-295

Abstract: This paper addresses existence and Ulam–Hyers stability (UHS) problems for an impulsive Caputo–Hadamard fractional neutral functional stochastic differential equation with infinite delay (FNFSDEwID). We first prove the existence and uniqueness of the solution using Banach fixed point theorem and standard stochastic analysis techniques. We then tackle the UHS under a Lipschitz condition on a bounded and closed interval. We end up with an illustrative example that corroborates our theoretical findings.

Keywords: Banach space; Ulam–Hyers stability; Caputo–Hadamard derivative; Random impulses fractional stochastic differential equations (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:210:y:2023:i:c:p:281-295

DOI: 10.1016/j.matcom.2023.03.020

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