Weighted pseudo S-asymptotically Bloch type periodic solutions for a class of mean field stochastic fractional evolution equations

Abstract

This paper concerns a class of mean-field stochastic fractional evolution equations. Initially, we establish some auxiliary results for weighted pseudo $S$-asymptotically Bloch type periodic stochastic processes. Without a compactness assumption on the resolvent operator and some additional conditions on forced terms, the existence and uniqueness of weighted pseudo $S$-asymptotically Bloch type periodic mild solutions on the real line of the referred equation are obtained. In addition, we show the existence of weighted pseudo $S$-asymptotically Bloch type periodic mild solutions with sublinear growth assumptions on the drift term and compactness conditions. Finally, an example is provided to verify the main outcomes.