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

Dates

  • Submission Date2015-01-14
  • Revision Date2015-01-15
  • Acceptance Date2015-03-05
  • Online Date2015-04-04

DOI Reference

10.2298/TSCI150114045L

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