THERMAL SCIENCE

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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 [S751 - S754]
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Characteristic equation method for fractal heat-transfer problem via local fractional calculus

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