Almost periodic mild solutions for stochastic delay functional. differential equations driven by a fractional Brownian motion

Abstract

In this paper we investigate the existence and stability of quadratic-mean almost periodic mild solutions to stochastic delay functional differential equations driven by fractional Brownian motion with Hurst parameter H > 1/2 , under some suitable assumptions, by means of semigroup of operators and fixed point method.

Keywords

• compact space
• containing constants
• separating points
• Fractional Brownian motion
• Stochastic delay functional differential equations
• Quadratic-mean almost periodic solution