Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays.

We study the existence and asymptotic stability in pthmoment of amild solution to a class of nonlinear fractional neutral stochastic differential equationswith infinite delays inHilbert spaces. Aset of novel sufficient conditions are derived with the help of semigroup theory and fixed point technique for achieving the required result. The uniqueness of the solution of the considered problem is also studied under suitable conditions. Finally, an example is given to illustrate the obtained theory. [ABSTRACT FROM AUTHOR]