THERMAL SCIENCE

International Scientific Journal

Zhong-Hua Wu

,

Amar Debbouche

,

Juan L.G Guirao

,

Xiao-Jun Yang

ON LOCAL FRACTIONAL VOLTERRA INTEGRAL EQUATIONS IN FRACTAL HEAT TRANSFER

ABSTRACT
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.
KEYWORDS
fractal heat transfer, fourier law, integral equations, local fractional calculus
PAPER SUBMITTED: 2015-12-17
PAPER REVISED: 2016-01-23
PAPER ACCEPTED: 2016-01-26
PUBLISHED ONLINE: 2016-08-14
DOI REFERENCE: https://doi.org/10.2298/TSCI151217202W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S795 - S800]
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On local fractional Volterra integral equations in fractal heat transfer

© 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