On weighted pseudo almost automorphic mild solutions for some mean field stochastic evolution equations
Probability
2022-08-15 v1 Dynamical Systems
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.
Cite
@article{arxiv.2208.06076,
title = {On weighted pseudo almost automorphic mild solutions for some mean field stochastic evolution equations},
author = {Moustapha Dieye and Amadou Diop and Mamadou Moustapha Mbaye and Mark A. McKibben},
journal= {arXiv preprint arXiv:2208.06076},
year = {2022}
}