Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations

Abstract

In this paper, we deal with the existence and uniqueness of piecewise square mean weighted pseudo almost periodic solutions for a class of fractional order stochastic impulsive differential equations. The working tools are based on fixed point technique, fractional power operators and stochastic analysis; methods and theory are adopted from deterministic fractional systems. In addition, an example is given to illustrate the theory.