The S-asymptotically $ \omega $-periodic solutions for stochastic fractional differential equations with piecewise constant arguments

Abstract

<abstract><p>In this paper, two kinds of stochastic differential equations with piecewise constant arguments are investigated. Sufficient conditions for the existence of the square-mean S-asymptotically $ \omega $-periodic solutions of these two type equations are derived where $ \omega $ is an integer. Then, the global asymptotic stability for one of them is considered by using the comparative approach. In order to show the theoretical results, we give two examples.</p></abstract>