Fractional anisotropic diffusion equation in cylindrical brush model

In this work, we have suggested a neat method of obtaining the fractional diffusion equation for an anomalous anisotropic diffusion process using fractal brush structure as a background medium. For the sake of completeness, we intend to present an analytical solution in the case of the Dirichlet bou...

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Bibliographic Details
Main Authors: M. K. Sharaf, E. K. El-Shewy, M. A. Zahran
Format: Article
Language:English
Published: Taylor & Francis Group 2020-01-01
Series:Journal of Taibah University for Science
Subjects:
Online Access:http://dx.doi.org/10.1080/16583655.2020.1824743
Description
Summary:In this work, we have suggested a neat method of obtaining the fractional diffusion equation for an anomalous anisotropic diffusion process using fractal brush structure as a background medium. For the sake of completeness, we intend to present an analytical solution in the case of the Dirichlet boundary condition. Finally, some notes and remarks are represented to show the vital role of a physical or biological system that exhibits a multiple trapping process.
ISSN:1658-3655