Hyers-Ulam stability of Hadamard fractional stochastic differential equations

Abstract

The current article is used to investigate the Hyers-Ulam stability (HUS) of Hadamard stochastic fractional differential equations (HSFDE) by using a version of some fixed point theorem (FPT), a technical lemma and some classical stochastic calculus tools. To show the interest of our results, we present two examples. In this manner, we generalize some recent interesting results.