Fractional diffusion equation and Green function approach: Exact solutions

We investigate the solutions of a fractional diffusion equation with radial symmetry by using the Green function approach and by taking the -dimensional case into account. In our analysis, a spatial time-dependent diffusion coefficient is considered, i.e., . The presence of external forces with ε=-1-θ and is also taken into account. In particular, we discuss the results obtained by employing boundary conditions defined on a finite interval, and afterwards the analysis is extended to a semi-infinite interval. Finally, we also discuss a rich class of diffusive processes that can be obtained from the results presented in this work