## THERMAL SCIENCE

International Scientific Journal

### SOLUTIONS FOR A FRACTIONAL DIFFUSION EQUATION WITH RADIAL SYMMETRY AND INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS

**ABSTRACT**

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.

**KEYWORDS**

PAPER SUBMITTED: 2015-01-14

PAPER REVISED: 2015-01-15

PAPER ACCEPTED: 2015-03-05

PUBLISHED ONLINE: 2015-04-04

**THERMAL SCIENCE** YEAR

**2015**, VOLUME

**19**, ISSUE

**Supplement 1**, PAGES [S1 - S6]

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