Stochastic delay fractional evolution equations driven by fractional Brownian motion |
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| Authors: | Kexue Li |
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| Institution: | School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China |
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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. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | fractional evolution equation fractional Brownian motion mild solution |
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