Existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays

Abstract

In this article, we concentrate on the existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays. Initially, the existence of the mild solutions to the equations by utilizing Banach fixed point theorem is demonstrated. In the later case we explore the Hyers Ulam stability results under the Lipschitz condition on a bounded and closed interval.