Ervin K. Lenzi, Angel A. Tateishi, Haroldo V. Ribeiro, Marcelo K. Lenzi, Giane Gonçalves e Luciano R. da Silva

Journal of Statistical Mechanics: Theory and Experiment – Volume: 2014; Issue: 8; Number: P08019; DOI: 10.1088/1742-5468/2014/08/P08019

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.