Fractional diffusion equation, boundary conditions and surface effects

Fractional diffusion equation, boundary conditions and surface effects

E. K. Lenzi, A. A. Tateishi, H. V. Ribeiro, M. K. Lenzi, G. Gonçalves, L. R. da Silva, J. Stat. Mech. P08019 (2014). PDF | DOI

We investigate a system governed by a fractional diffusion equation with an integro-differential boundary condition on the surface. This condition can be connected with several processes such as adsorption and/ or desorption or chemical reactions due to the presence of active sites on the surface. The solutions are obtained by using the Green function approach and show a rich class of behaviors, which can be related to anomalous diffusion.