THERMAL SCIENCE

International Scientific Journal

Ervin K Lenzi

,

Denner S Vieira

,

Marcelo K Lenzi

,

Giane Gonçalves

,

Delano P Leitoles

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
fractional derivative, diffusion equation, anomalous diffusion
PAPER SUBMITTED: 2015-01-14
PAPER REVISED: 2015-01-15
PAPER ACCEPTED: 2015-03-05
PUBLISHED ONLINE: 2015-04-04
DOI REFERENCE: https://doi.org/10.2298/TSCI150114045L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement, PAGES [1 - 6]
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Solutions for a fractional diffusion equation with radial symmetry and integro-differential boundary conditions

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