Approximate Controllability via Resolvent Operators of Sobolev-Type Fractional Stochastic Integrodifferential Equations with Fractional Brownian Motion and Poisson Jumps

Abstract

Using fractional calculus, stochastic analysis theory, and fixed point theorems with the properties of analytic \(\alpha \)-resolvent operators, sufficient conditions for approximate controllability of Sobolev-type fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps are established. Finally, an example is given to illustrate the obtained results.