THERMAL SCIENCE

International Scientific Journal

Geng-Yuan Liu

CHARACTERISTIC EQUATION METHOD FOR FRACTAL HEAT-TRANSFER PROBLEM VIA LOCAL FRACTIONAL CALCULUS

ABSTRACT
In this paper the fractal heat-transfer problem described by the theory of local fractional calculus is considered. The non-differentiable-type solution of the heat-transfer equation is obtained. The characteristic equation method is proposed as a powerful technology to illustrate the analytical solution of the partial differential equation in fractal heat transfer.
KEYWORDS
heat-transfer equation, analytical solution, local fractional calculus, characteristic equation method
PAPER SUBMITTED: 2015-12-05
PAPER REVISED: 2016-01-15
PAPER ACCEPTED: 2016-01-26
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3751L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [751 - 754]
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Characteristic equation method for fractal heat-transfer problem via local fractional calculus

© 2026 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