Weak pullback attractors for damped stochastic fractional Schrödinger equation on ℝn

This paper discusses the weak pullback attractors for a damped stochastic fractional Schrödinger equation on [Formula: see text] with [Formula: see text]. By utilizing the stochastic Strichartz estimates and a stopping time technique argument, the existence and uniqueness of a global solution for the systems with the nonlinear term [Formula: see text] are proven. Furthermore, we define a mean random dynamical system due to the uniqueness of the solution, which has a unique weak pullback mean random attractor in [Formula: see text]. This result highlights the long-term dynamics of a broad class of stochastic fractional dispersion equations.