Abstract
In this paper we investigate the existence, uniqueness and exponential asymptotic behavior of mild solutions to stochastic delay evolution equations perturbed by a fractional Brownian motion B Q H ( t ) : d X ( t ) = ( A X ( t ) + f ( t , X t ) ) d t + g ( t ) d B Q H ( t ) , with Hurst parameter H ∈ ( 1 / 2 , 1 ) . We also consider the existence of weak solutions.
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