Anomalous diffusion with memory that depends on time and coordinates. (Q1878783)

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.