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

Authors :
Dieye, Moustapha
Diop, Amadou
Mbaye, Mamadou Moustapha
McKibben, Mark A.
Publication Year :
2022

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.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2208.06076
Document Type :
Working Paper