Weighted pseudo <i>S</i> -asymptotically ( <i>ω, c</i> )-periodic solutions to fractional stochastic differential equations

Abstract In this paper, we analyze the existence and uniqueness of Stepanov-like weighted pseudo S -asymptotically ( ω, c )-periodic solutions for a class of fractional stochastic differential equations. We clarify the sufficient conditions ensuring the existence of mild solutions and explore their stability properties. The new existence and uniqueness results are provided and an illustrative example is presented to demonstrate the applicability of the established theoretical findings.