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arXiv · 1406.3336

Stochastic delay fractional evolution equations driven by fractional Brownian motion

Kexue Li
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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.

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Kexue Li. 2014-06-11. Stochastic delay fractional evolution equations driven by fractional Brownian motion. https://doi.org/10.1002/mma.3169

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