paper

Stochastic delay fractional evolution equations driven by fractional Brownian motion

arXiv:1406.3336 · doi:10.1002/mma.3169

Abstract

In this paper, we consider a class of stochastic delay fractional evolution equations driven by fractional Brownian motion in a Hilbert space. Sufficient conditions for the existence and uniqueness of mild solutions are obtained. An application to the stochastic fractional heat equation is presented to illustrate the theory.

Stochastic delay fractional evolution equations driven by fractional Brownian motion · wovepaper