Solutions for a fractional diffusion equation: Anomalous diffusion and adsorption–desorption processes
We investigate the solutions for a fractional diffusion equation subjected to boundary conditions which can be connected to adsorption–desorption processes. The analytical solutions were obtained using the Green function approach and showed an anomalous spreading which can be connected to an anomalo...
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doaj-b06da892a01d4341a5c76412d2d4eecb2020-11-25T00:29:42ZengElsevierJournal of King Saud University: Science1018-36472016-01-012813610.1016/j.jksus.2015.08.003Solutions for a fractional diffusion equation: Anomalous diffusion and adsorption–desorption processesE.K. Lenzi0M.A.F. dos Santos1M.K. Lenzi2D.S. Vieira3L.R. da Silva4Departamento de Física, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR 84030-900, BrazilDepartamento de Física, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR 84030-900, BrazilDepartamento de Engenharia Qumica, Universidade Federal do Paraná, Curitiba, PR 81531-990, BrazilDepartamento de Física, Universidade Estadual de Maringá, Maringá, PR 87020-900, BrazilDepartamento de Física, Universidade Federal do Rio Grande do Norte, Natal, RN 59072-970, BrazilWe investigate the solutions for a fractional diffusion equation subjected to boundary conditions which can be connected to adsorption–desorption processes. The analytical solutions were obtained using the Green function approach and showed an anomalous spreading which can be connected to an anomalous diffusion.http://www.sciencedirect.com/science/article/pii/S1018364715000737Fractional diffusion equationAnomalous diffusionAdsorption–desorption |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
E.K. Lenzi M.A.F. dos Santos M.K. Lenzi D.S. Vieira L.R. da Silva |
spellingShingle |
E.K. Lenzi M.A.F. dos Santos M.K. Lenzi D.S. Vieira L.R. da Silva Solutions for a fractional diffusion equation: Anomalous diffusion and adsorption–desorption processes Journal of King Saud University: Science Fractional diffusion equation Anomalous diffusion Adsorption–desorption |
author_facet |
E.K. Lenzi M.A.F. dos Santos M.K. Lenzi D.S. Vieira L.R. da Silva |
author_sort |
E.K. Lenzi |
title |
Solutions for a fractional diffusion equation: Anomalous diffusion and adsorption–desorption processes |
title_short |
Solutions for a fractional diffusion equation: Anomalous diffusion and adsorption–desorption processes |
title_full |
Solutions for a fractional diffusion equation: Anomalous diffusion and adsorption–desorption processes |
title_fullStr |
Solutions for a fractional diffusion equation: Anomalous diffusion and adsorption–desorption processes |
title_full_unstemmed |
Solutions for a fractional diffusion equation: Anomalous diffusion and adsorption–desorption processes |
title_sort |
solutions for a fractional diffusion equation: anomalous diffusion and adsorption–desorption processes |
publisher |
Elsevier |
series |
Journal of King Saud University: Science |
issn |
1018-3647 |
publishDate |
2016-01-01 |
description |
We investigate the solutions for a fractional diffusion equation subjected to boundary conditions which can be connected to adsorption–desorption processes. The analytical solutions were obtained using the Green function approach and showed an anomalous spreading which can be connected to an anomalous diffusion. |
topic |
Fractional diffusion equation Anomalous diffusion Adsorption–desorption |
url |
http://www.sciencedirect.com/science/article/pii/S1018364715000737 |
work_keys_str_mv |
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1725330436304928768 |