Weak Mean Attractors of Fractional Stochastic Lattice Systems Driven by Nonlinear Delay Noise

• Published in: Electronic Journal of Applied Mathematics Vol. 2; no. 4; pp. 1 - 23
• Main Authors: Bai, Ailin, Chen, Pengyu
• Format: Journal Article
• Language: English
• Published: 10.12.2024
• ISSN: 2980-2474; 2980-2474
• DOI: 10.61383/ejam.20242485

This paper deals with the existence and uniqueness of weak pullback mean random attractors for fractional stochastic lattice systems driven by nonlinear delay noise defined on the entire integer set \(\mathbb{Z}\). We first establish the global well-posedness to stochastic lattice system in \(C([\ta...