  We presented a general approach for obtaining the generalized transport
equations with fractional derivatives by using the Liouville equation with
fractional derivatives for a system of classical particles and Zubarev's
nonequilibrium statistical operator (NSO) method within Gibbs statistics.
  The new non-Markovian diffusion equations of ions in spatially heterogeneous
environment with fractal structure and generalized Cattaneo-Maxwell diffusion
equation with taking into account the space-time nonlocality are obtained.
  Dispersion relations are found for the Cattaneo-Maxwell diffusion equation
with taking into account the space-time nonlocality in fractional derivatives.
  The frequency spectrum, phase and group velocities are calculated.
  It is shown that it has a wave behaviour with discontinuities,
  which are also manifested in the behaviour of the phase velocity.
