Fractional neutral stochastic differential equations driven by α-stable process

In this paper, we are concerned with a class of fractional neutral stochastic partial differential equations driven by α-stable process. By the stochastic analysis technique, the properties of operator semigroup and combining the Banach fixed-point theorem, we prove the existence and uniqueness of the mild solutions to this kind of equations driven by α-stable process. In the end, an example is given to demonstrate the theory of our work.