Solutions for a fractional diffusion equation with spherical symmetry using Green function approach

We obtain solutions for a fractional diffusion equation by taking the spherical symmetry into account and using the Green function approach. These solutions are found in a confined region by considering a spatial and time dependent boundary conditions, i.e, inhomogeneous surfaces. In our analysis, we also consider the diffusion coefficient given by D(r¯)=Dr-η, the presence of the external force F¯(r)=K/r1+ηrˆ and a source (or absorbent) term. They show us an anomalous behavior due to the presence of the fractional derivative and the surface which for this case is inhomogeneous.