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Existence of almost periodic solutions for semilinear stochastic evolution equations driven by fractional Brownian motion

Keywords: Stochastic differential equation , stochastic processes , almost periodic , Wiener process

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Abstract:

This article concerns the existence of almost periodic solutions to a class of abstract stochastic evolution equations driven by fractional Brownian motion in a separable real Hilbert space. Under some sufficient conditions, we establish the existence and uniqueness of a pth-mean almost periodic mild solution to those stochastic differential equations.

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