Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations

الملخص EN

Mild solutions generated by a a , k -regularized family to fractional stochastic relaxation equations are studied.

The main objective is to establish the existence and uniqueness of square-mean asymptotically almost automorphic mild solutions to linear and semilinear case of these equations.

Under different hypotheses, some new theorems concerning the main objective are derived.