Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1706657 | Applied Mathematical Modelling | 2009 | 5 Pages |
Abstract
Recently, the generalized fractional reaction–diffusion equation subject to an external linear force field has been proposed to describe the transport processes in disordered systems. The solution of this generalized model can be formally expressed in closed form through the Fox function. For the sack of completeness, we dedicate this work to construct a neatly derivation of the generalized fractional reaction–diffusion equation. Remarkably, such derivation could in general offer some novel and inspiring inspection to the phenomena of anomalous transport. For instance, there is a strong evidence that the fractional calculus offers some physical insight into the origin of fractional dynamics for a systems which exhibit multiple trapping.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
M.A. Zahran,