Feedback control for Sobolev-type fractional stochastic evolution equations

This paper is mainly concerned with feedback control for Sobolev-type fractional stochastic evolution equations. Some sufficient conditions are established for the existence of mild solutions and feasible pairs. The main results are investigated by compactness of fractional resolvent operator family. Finally, we apply our main result to obtain a controllability result for the equation and an existence result for a class of Clarke's subdifferential inclusions.