On weighted pseudo almost automorphic mild solutions for some mean field stochastic evolution equations

2022/08/12 by Dieye, Moustapha, Diop, Amadou, Mbaye, Mamadou Moustapha +1
#Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2208.06076

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.

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