Almost automorphic solutions for mean-field stochastic differential equations driven by fractional Brownian motion

Abstract

This paper concerns a class of mean field stochastic differential equations driven by fractional Brownian motion with Hurst parameter H∈(1/2,1). The existence and uniqueness of almost automorphic solutions in distribution of mean field stochastic differential equations driven by fractional Brownian motion are established provided coefficients of equations satisfy some suitable conditions.