Abstract
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 ¯ ) = D r - η , the presence of the external force F ¯ ( r ) = K / r 1 + η r ˆ 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.
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