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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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 |