Research Article
Stochastic delay fractional evolution equations driven by fractional Brownian motion
Kexue Li,
Corresponding Author
Kexue Li
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China
Correspondence to: Kexue Li, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China.
E-mail: [email protected]
Search for more papers by this authorKexue Li,
Corresponding Author
Kexue Li
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China
Correspondence to: Kexue Li, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China.
E-mail: [email protected]
Search for more papers by this authorAbstract
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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