Abstract

The article is devoted to the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal condition. The investigation is mainly based on the semigroups of operators method and Mönch fixed points method, as well as the basic theory of Hyers-Ulam stability.

中文翻译：

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带fBm的近周期分数阶随机微分方程解的存在性及Hyers-Ulam稳定性

摘要

本文致力于研究非局部条件下具有脉冲和分数布朗运动的分数阶微分方程的近似周期解的存在性和Hyers-Ulam稳定性。研究主要基于算子半群方法和Mönch不动点方法，以及Hyers-Ulam稳定性的基本理论。