Fractional anisotropic diffusion equation in cylindrical brush model

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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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:
anomalous diffusion
fractional derivative
fractal brush structure
Online Access:http://dx.doi.org/10.1080/16583655.2020.1824743
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spelling doaj-768a2316230c4999ab42e5707ee72c242021-01-26T12:13:36ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552020-01-011411416142010.1080/16583655.2020.18247431824743Fractional anisotropic diffusion equation in cylindrical brush modelM. K. Sharaf0E. K. El-Shewy1M. A. Zahran2Theoretical Physics Research Group, Department of Physics, Faculty of Science, Mansoura UniversityTheoretical Physics Research Group, Department of Physics, Faculty of Science, Mansoura UniversityTheoretical Physics Research Group, Department of Physics, Faculty of Science, Mansoura UniversityIn 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.http://dx.doi.org/10.1080/16583655.2020.1824743anomalous diffusionfractional derivativefractal brush structure
collection DOAJ
language English
format Article
sources DOAJ
author M. K. Sharaf
E. K. El-Shewy
M. A. Zahran
spellingShingle M. K. Sharaf
E. K. El-Shewy
M. A. Zahran
Fractional anisotropic diffusion equation in cylindrical brush model
Journal of Taibah University for Science
anomalous diffusion
fractional derivative
fractal brush structure
author_facet M. K. Sharaf
E. K. El-Shewy
M. A. Zahran
author_sort M. K. Sharaf
title Fractional anisotropic diffusion equation in cylindrical brush model
title_short Fractional anisotropic diffusion equation in cylindrical brush model
title_full Fractional anisotropic diffusion equation in cylindrical brush model
title_fullStr Fractional anisotropic diffusion equation in cylindrical brush model
title_full_unstemmed Fractional anisotropic diffusion equation in cylindrical brush model
title_sort fractional anisotropic diffusion equation in cylindrical brush model
publisher Taylor & Francis Group
series Journal of Taibah University for Science
issn 1658-3655
publishDate 2020-01-01
description 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.
topic anomalous diffusion
fractional derivative
fractal brush structure
url http://dx.doi.org/10.1080/16583655.2020.1824743
work_keys_str_mv AT mksharaf fractionalanisotropicdiffusionequationincylindricalbrushmodel
AT ekelshewy fractionalanisotropicdiffusionequationincylindricalbrushmodel
AT mazahran fractionalanisotropicdiffusionequationincylindricalbrushmodel
_version_ 1724322657578516480

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