Ulam type stability for Caputo-Hadamard fractional functional stochastic differential equations with delay

被引：10

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：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期

关键词：

Banach space; Caputo-Hadamard derivative; fractional stochastic differential equations; Mittag-Leffler function; Ulam-Hyers-Rassias stability; HYERS STABILITY;

D O I：

10.1002/mma.9163

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses the existence of stability results for Ulam-Hyers (UHS) and Ulam-Hyers-Rassias (UHRS) in the setting of Caputo-Hadamard fractional functional stochastic differential equations with delay (FFSDEwD). We first prove existence and uniqueness using Banach fixed point theorem coupled with standard stochastic analysis techniques. Then, we deal with UHS and UHRS results of Caputo-Hadamard FFSDEwD through an application of Gronwall inequality. Our theoretical findings are corroborated with two numerical examples.

引用

收藏

页码：10995 / 11006

页数：12

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