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

被引：13

作者：

Rhaima, Mohamed ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2023年 / 210卷

关键词：

Banach space; Ulam-Hyers stability; Caputo-Hadamard derivative; Random impulses fractional stochastic differential equations; EXISTENCE;

D O I：

10.1016/j.matcom.2023.03.020

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.(c) 2023 Published by Elsevier B.V. on behalf of International Association for Mathematics and Computers in Simulation (IMACS).

引用

页码：281 / 295

页数：15

共 39 条

[1] On a more general fractional integration by parts formulae and applications [J].