Weak mean random attractors for non-local random and stochastic reaction-diffusion equations

Abstract

In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-di¤usion equation with a nonlinear multiplicative noise. The existence and unique- ness of solutions and weak pullback mean random attractors is also established for a deterministic non-local reaction-di¤usion equations with random initial data.