Moment stability via resolvent operators of fractional stochastic differential inclusions driven by fractional Brownian motion

In this manuscript, we consider a class of fractional stochastic differential inclusions driven by fractional Brownian motion in Hilbert space with Hurst parameter H^∈(12,1). Sufficient conditions for the existence and asymptotic stability of mild solutions are derived in mean square moment by employing fractional calculus, analytic resolvent operators and Bohnenblust-Karlin's fixed point theorem. The effectiveness of the obtained theoretical results is illustrated by an example.