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...

Full description

Bibliographic Details
Main Authors: E.K. Lenzi, M.A.F. dos Santos, M.K. Lenzi, D.S. Vieira, L.R. da Silva
Format: Article
Language:English
Published: Elsevier 2016-01-01
Series:Journal of King Saud University: Science
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364715000737
id doaj-b06da892a01d4341a5c76412d2d4eecb
record_format Article
spelling 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 AT eklenzi solutionsforafractionaldiffusionequationanomalousdiffusionandadsorptiondesorptionprocesses
AT mafdossantos solutionsforafractionaldiffusionequationanomalousdiffusionandadsorptiondesorptionprocesses
AT mklenzi solutionsforafractionaldiffusionequationanomalousdiffusionandadsorptiondesorptionprocesses
AT dsvieira solutionsforafractionaldiffusionequationanomalousdiffusionandadsorptiondesorptionprocesses
AT lrdasilva solutionsforafractionaldiffusionequationanomalousdiffusionandadsorptiondesorptionprocesses
_version_ 1725330436304928768