THERMAL SCIENCE

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Badr Saad T. Alkahtani

,

Abdon Atangana

REMARKS ON A GREEN FUNCTIONS APPROACH TO DIFFUSION MODELS WITH SINGULAR KERNELS IN FADING MEMORIES

ABSTRACT
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.
KEYWORDS
diffusion models, singular kernel, green function, laplace transform
PAPER SUBMITTED: 2016-04-21
PAPER REVISED: 2016-05-30
PAPER ACCEPTED: 2016-06-15
PUBLISHED ONLINE: 2016-10-01
DOI REFERENCE: https://doi.org/10.2298/TSCI160421234A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 2, PAGES [767 - 773]
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Remarks on a green functions approach to diffusion models with singular kernels in fading memories

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence