Remarks on a green functions approach to diffusion models with singular kernels in fading memories

Remarks on a green functions approach to diffusion models with singular kernels in fading memories

Diffusion problems with singulars kernels in fading memories are very interesting physical problem that have attracted attention of many researchers. In this paper, we aim to provide exact solutions of these problems using the green function method with some integral transform operators. The singula...

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Main Authors: Alkahtani Badr Saad T., Atangana Abdon
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2017-01-01
Series:Thermal Science
Subjects:
diffusion models
singular kernel
green function
Laplace transform
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600234A.pdf
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spelling doaj-acfa0db701554778aca75bdb2d7fc09e2021-01-02T04:58:36ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632017-01-0121276777310.2298/TSCI160421234A0354-98361600234ARemarks on a green functions approach to diffusion models with singular kernels in fading memoriesAlkahtani Badr Saad T.0Atangana Abdon1King Saud University, Colleges of sciences, Department of mathematics, Riyadh, Saudi ArabiaUniversity of the Free State, Faculty of Natural and Agricultural Sciences, Institute for Groundwater Studies, Bloemfontein, South AfricaDiffusion problems with singulars kernels in fading memories are very interesting physical problem that have attracted attention of many researchers. In this paper, we aim to provide exact solutions of these problems using the green function method with some integral transform operators. The singular kernel used in this paper is based upon the power law function, which is used to construct the well-known Riemann-Liouville derivative with fractional order.http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600234A.pdfdiffusion modelssingular kernelgreen functionLaplace transform
collection DOAJ
language English
format Article
sources DOAJ
author Alkahtani Badr Saad T.
Atangana Abdon
spellingShingle Alkahtani Badr Saad T.
Atangana Abdon
Remarks on a green functions approach to diffusion models with singular kernels in fading memories
Thermal Science
diffusion models
singular kernel
green function
Laplace transform
author_facet Alkahtani Badr Saad T.
Atangana Abdon
author_sort Alkahtani Badr Saad T.
title Remarks on a green functions approach to diffusion models with singular kernels in fading memories
title_short Remarks on a green functions approach to diffusion models with singular kernels in fading memories
title_full Remarks on a green functions approach to diffusion models with singular kernels in fading memories
title_fullStr Remarks on a green functions approach to diffusion models with singular kernels in fading memories
title_full_unstemmed Remarks on a green functions approach to diffusion models with singular kernels in fading memories
title_sort remarks on a green functions approach to diffusion models with singular kernels in fading memories
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2017-01-01
description Diffusion problems with singulars kernels in fading memories are very interesting physical problem that have attracted attention of many researchers. In this paper, we aim to provide exact solutions of these problems using the green function method with some integral transform operators. The singular kernel used in this paper is based upon the power law function, which is used to construct the well-known Riemann-Liouville derivative with fractional order.
topic diffusion models
singular kernel
green function
Laplace transform
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600234A.pdf
work_keys_str_mv AT alkahtanibadrsaadt remarksonagreenfunctionsapproachtodiffusionmodelswithsingularkernelsinfadingmemories
AT atanganaabdon remarksonagreenfunctionsapproachtodiffusionmodelswithsingularkernelsinfadingmemories
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