The Averaging Principle for Stochastic Fractional Partial Differential Equations with Fractional Noises

Abstract

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The purpose of this paper is to establish an averaging principle for stochastic fractional partial differential equation of order $\u03b1 > 1$ driven by a fractional noise.\nWe prove the existence and uniqueness of the global mild solution for the considered\nequation by the fixed point principle. The solutions for SPDEs with fractional noises\ncan be approximated by the solution for the averaged stochastic systems in the sense\nof $p$-moment under some suitable assumptions.<\/p>"