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Stochastic delay fractional evolution equations driven by fractional Brownian motion (1406.3336v1)

Published 11 Jun 2014 in math.PR

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.