Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems
Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems
Abstract The aim of this paper is to investigate a class of nonlinear stochastic reaction-diffusion systems involving fractional Laplacian in a bounded domain. First, the existence and uniqueness of weak solutions are proved by using Galërkin’s method. Second, the existence of optimal controls for the corresponding stochastic optimal control problem …