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

Mohamed Rhaima

doi:10.1016/j.matcom.2023.03.020

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

Journal article

Peer reviewed

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

Mohamed Rhaima

Mathematics and computers in simulation, Vol.210, pp.281-295

08/2023

DOI: https://doi.org/10.1016/j.matcom.2023.03.020

Abstract

Banach space

Caputo–Hadamard derivative

Random impulses fractional stochastic differential equations

Ulam–Hyers stability

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.

Metrics

1 Record Views

Details

Title: Ulam–Hyers stability for an impulsive Caputo–Hadamard fractional neutral stochastic differential equations with infinite delay
Creators - without role: Mohamed Rhaima - King Saud University
Publication Details: Mathematics and computers in simulation, Vol.210, pp.281-295
Publisher: Elsevier B.V
Identifiers: 9946214608331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article