TY - JOUR
TI - Solutions for a fractional diffusion equation with radial symmetry and integro-differential boundary conditions
AU - Lenzi Ervin K
AU - Vieira Denner S
AU - Lenzi Marcelo K
AU - Gonçalves Giane
AU - Leitoles Delano P
JN - Thermal Science
PY - 2015
VL - 19
IS - 11
SP - 1
EP - 6
PT - Article
AB - The solutions for a dimensional system with radial symmetry and governed by a  fractional diffusion equation have been investigated. More specifically, a  spherical system was considered, being defined in the semi - infinity  interval [R, ¥) and subjected to surface effects described in terms of  integro - differential boundary conditions which has many practical  applications. The analytical solutions were obtained by using the Green  function approach, showing a broad range of different behaviors which can be  related to anomalous diffusion. The analyses also considered the influence of  the parameters of the analytical solution in order to describe a more  realistic scenario.