Approximate controllability of impulsive neutral stochastic differentialequations with fractional Brownian motion in a Hilbert space

Approximate controllability for impulsive neutral stochastic functionaldifferential equations with finite delay and fractional Brownian motion in aHilbert space are studied. The results are obtained by using semigroup theory,stochastic analysis, and Banach’s fixed point theorem. Finally, an exampleis given to illustrate the application of our result. MSC: 60H15, 60G22, 93B05, 34A37.