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Rubén Caballero, José Valero (Centro de Investigación Operativa, Universidad Miguel Hernandez de Elche) and Pedro Marín (Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla)

Abstract: In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-diffusion equation with a nonlinear multiplicative noise. The existence and uniqueness of solutions and weak pullback mean random attractors are also established for a deterministic non-local reaction-diffusion equations with random initial data.