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On weighted pseudo almost automorphic mild solutions for some mean field stochastic evolution equations (2208.06076v1)
Published 12 Aug 2022 in math.PR and math.DS
Abstract: When the evolution familiy is hyperbolic and satisfies the Acquistapace-Terreni conditions, the existence and uniquenness of an almost automorphic mild solution and a weighted pseudo almost automorphic mild solution in distribution of mean-filed nonautonomous stochastic evolution equations driven by fractional Brownian motion is proved. Examples illustrating the main results are included.