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

Qiong Wu
2015 International Journal of Differential Equations  
Mild solutions generated by aa, 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.
doi:10.1155/2015/143591 fatcat:fgmf7nzeebgrzntk5kigv2tkf4