Abstract
ABSTRACTIn this paper, we consider a class of stochastic delay equations in Hilbert spaces driven by fractional Brownian motion with Hurst parameter . We obtain a sufficient condition for controllability of the systems and prove that their mild solutions are exponentially stable in pth moment with by using adequately the characteristic of fractional Brownian motion and the fractional power of a linear operator A with . In particular, when the mild solutions are exponentially stable in mean square.
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