Averaging principle for Hilfer fractional impulsive stochastic evolution equations
By using fractional calculus,semigroup theories,inequality techniques and stochastic analysis theories,an averaging principle for Hilfer fractional impulsive stochastic evolution equations driven by fractional Brownian motion is established.The mild solution of the original equations converges to the mild solution of the reduced averaged equations without impulses in the mean square sense is proved.And an example is presented to illustrate the applicability of our obtained theoretical results.
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