A Stochastic PDE Under Fractional Brownian Motion
This paper studies a class of stochastic PDEs driven by fractional Brownian mo- tion with Hurst index H 2 ( 1 2 ;
1) in Hilbert space. We prove the existence theorem viaxed point theorem and theory of analytic resolvent operators.
Index terms- Fractional Brownian Mo-Tion, Xed Point Theory, Stochastic Integro-Dierential Equations, Existence