On local fractional Volterra integral equations in fractal heat transfer

On local fractional Volterra integral equations in fractal heat transfer

In the article, the fractal heat-transfer models are described by the local fractional integral equations. The local fractional linear and nonlinear Volterra integral equations are employed to present the heat transfer problems in fractal media. The local fractional integral equations are...

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Main Authors: Wu Zhong-Hua, Debbouche Amar, Guirao Juan L.G., Yang Xiao-Jun
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2016-01-01
Series:Thermal Science
Subjects:
fractal heat transfer
fourier law
integral equations
local fractional calculus
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-98361600202W.pdf
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spelling doaj-a25f16dd0778471ea19248ac2aa336b02021-01-02T15:31:47ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632016-01-0120suppl. 379580010.2298/TSCI151217202W0354-98361600202WOn local fractional Volterra integral equations in fractal heat transferWu Zhong-Hua0Debbouche Amar1Guirao Juan L.G.2Yang Xiao-Jun3Guangzhou Nanyang Polytechnic, Basis Course Department, Guangzhou, ChinaGuelma University, Department of Mathematics, Guelma, AlgeriaTechnical University of Cartagena, Department of Applied Mathematics and Statistics, Cartagena, Murcia, SpainChina University of Mining and Technology, School of Mechanics and Civil Engineering, Xuzhou, ChinaIn the article, the fractal heat-transfer models are described by the local fractional integral equations. The local fractional linear and nonlinear Volterra integral equations are employed to present the heat transfer problems in fractal media. The local fractional integral equations are derived from the Fourier law in fractal media.http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-98361600202W.pdffractal heat transferfourier lawintegral equationslocal fractional calculus
collection DOAJ
language English
format Article
sources DOAJ
author Wu Zhong-Hua
Debbouche Amar
Guirao Juan L.G.
Yang Xiao-Jun
spellingShingle Wu Zhong-Hua
Debbouche Amar
Guirao Juan L.G.
Yang Xiao-Jun
On local fractional Volterra integral equations in fractal heat transfer
Thermal Science
fractal heat transfer
fourier law
integral equations
local fractional calculus
author_facet Wu Zhong-Hua
Debbouche Amar
Guirao Juan L.G.
Yang Xiao-Jun
author_sort Wu Zhong-Hua
title On local fractional Volterra integral equations in fractal heat transfer
title_short On local fractional Volterra integral equations in fractal heat transfer
title_full On local fractional Volterra integral equations in fractal heat transfer
title_fullStr On local fractional Volterra integral equations in fractal heat transfer
title_full_unstemmed On local fractional Volterra integral equations in fractal heat transfer
title_sort on local fractional volterra integral equations in fractal heat transfer
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2016-01-01
description In the article, the fractal heat-transfer models are described by the local fractional integral equations. The local fractional linear and nonlinear Volterra integral equations are employed to present the heat transfer problems in fractal media. The local fractional integral equations are derived from the Fourier law in fractal media.
topic fractal heat transfer
fourier law
integral equations
local fractional calculus
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-98361600202W.pdf
work_keys_str_mv AT wuzhonghua onlocalfractionalvolterraintegralequationsinfractalheattransfer
AT debboucheamar onlocalfractionalvolterraintegralequationsinfractalheattransfer
AT guiraojuanlg onlocalfractionalvolterraintegralequationsinfractalheattransfer
AT yangxiaojun onlocalfractionalvolterraintegralequationsinfractalheattransfer
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