数学
哈达玛变换
独特性
格朗沃尔不等式
类型(生物学)
理论(学习稳定性)
应用数学
不动点定理
Banach不动点定理
巴拿赫空间
随机微分方程
微分方程
差速器(机械装置)
数学分析
不平等
计算机科学
生物
机器学习
工程类
航空航天工程
生态学
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.
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