In:
Advances in Mathematical Physics, Hindawi Limited, Vol. 2017 ( 2017), p. 1-7
Abstract:
We investigate the diffusion of two different species in a semi-infinite medium considering the presence of linear reaction terms. The dynamics for these species is governed by fractional diffusion equations. We also consider the presence of an adsorption-desorption boundary condition. The solutions for this system are found in terms of the H function of Fox and by analyzing the behavior of the mean square displacement a rich class of diffusion processes is verified. In this sense, we show how the surface effects modify the bulk dynamics and promote an anomalous diffusion of system.
Type of Medium:
Online Resource
ISSN:
1687-9120
,
1687-9139
DOI:
10.1155/2017/6361598
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2017
detail.hit.zdb_id:
2494134-7