On weighted pseudo almost automorphic mild solutions for some mean field stochastic evolution equations
Moustapha Dieye, Amadou Diop, Mamadou Moustapha Mbaye, Mark A., McKibben

TL;DR
This paper establishes the existence and uniqueness of weighted pseudo almost automorphic mild solutions in distribution for certain mean field stochastic evolution equations driven by fractional Brownian motion, under hyperbolic and Acquistapace-Terreni conditions.
Contribution
It introduces new results on solutions for mean field stochastic equations with fractional Brownian motion, extending the theory to weighted pseudo almost automorphic solutions.
Findings
Existence of solutions under specified conditions
Uniqueness of solutions in distribution
Illustrative examples provided
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Differential Equations Analysis · Fractional Differential Equations Solutions · Stochastic processes and financial applications
