In this paper, we present a proof of dispersive decay for both linear and
nonlinear magnetic Schr\"odinger equations. To achieve this, we introduce the
fractional distorted Fourier transforms with magnetic potentials and define the
fractional differential operator \arrowvert J_{A}(t)\arrowvert^{s}. By
leveraging the properties of the distorted Fourier transforms and the
Strichartz estimates of \arrowvert J_{A}\arrowvert^{s}u, we establish the
dispersive bounds with the decay rate tβ2nβ. This decay rate
provides valuable insights into the spreading properties and long-term dynamics
of the solutions to the magnetic Schr\"odinger equations