Anomalous diffusion with memory that depends on time and coordinates.
The authors consider an equation of anomalous diffusion with fractional derivative of Riemann-Liouville type. These equations describe non-Markovian processes with constant memory. Approximation for weak memory is analyzed and three new factors are outlined: dependence of the diffusion coefficient on time, presence of a ``force'' due to fractal media, and one more term without derivatives. As an example there is studied the anomalous diffusion in media with periodic dependence of memory on time and coordinates.
scientific article; zbMATH DE number 2099598