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arXiv · 2208.06076

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

Moustapha Dieye·Amadou Diop·Mamadou Moustapha Mbaye·Mark A. McKibben
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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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Moustapha Dieye, Amadou Diop, Mamadou Moustapha Mbaye, Mark A. McKibben. 2022-08-12. On weighted pseudo almost automorphic mild solutions for some mean field stochastic evolution equations. https://arxiv.org/abs/2208.06076

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