On time-dependent stochastic evolution equations driven by fractional Brownian motion in a Hilbert space with finite delay

摘要

In this paper,we showthe existence and uniqueness of themild solution for a class of time-dependent stochastic evolution equations with finite delay driven by a standard cylindrical Wiener process and an independent cylindrical fractional Brownian motion with Hurst parameter H ∈ (1/2,1). An example is provided to illustrate the theory.