Time-Fractional Radial Diffusion in a Sphere with Non-Constant Surface Concentration

The standard integral equation describing the inward radial diffusion from the surface of a sphere of radius R has been generalized to a time-fractional integral equation describing fractional radial diffusion. Using Laplace transform techniques and Mittag-Leffler functions, the solution has been obtained for the case when the concentration at the surface of the sphere is non-constant.