Well-Posedness and stability of time-dependent impulsive neutral stochastic partial integrodierential equations with fractional Brownian motion and Poisson jumps

In this paper, we discuss the existence, uniqueness and sta- bility of mild solutions of time-dependent impulsive neutral stochastic partial integrodifferential equations with fractional Brownian motion and Poisson jumps. The existence of mild solutions for the equations are discussed by means of semigroup theory and theory of resolvent op- erator. Next, certain sufficient conditions and results are obtained by using the method of successive approximation and Bihari’s inequality. Finally, an example is provided to illustrate our results.