Stochastic fractional differential inclusion driven by fractional Brownian motion

Abstract

Abstract In this paper, we prove the existence result for a mild solution of a fractional stochastic evolution inclusion involving the Caputo derivative in the Hilbert space driven by a fractional Brownian motion with the Hurst parameter H > 1 2 {H>\frac{1}{2}} . The results are obtained by using fractional calculation, operator semigroups and the fixed point theorem for multivalued mappings.