THERMAL SCIENCE

International Scientific Journal

Fu-Juan Liu

,

Zheng-Biao Li

,

Sheng Zhang

,

Hong-Yan Liu

HE'S FRACTIONAL DERIVATIVE FOR HEAT CONDUCTION IN A FRACTAL MEDIUM ARISING IN SILKWORM COCOON HIERARCHY

ABSTRACT
He's fractional derivative is adopted in this paper to study the heat conduction in fractal medium. The fractional complex transformation is applied to convert the fractional differential equation to ordinary different equation. Boltzmann transform and wave transform are used to further simplify the governing equation for some special cases. Silkworm cocoon are used as an example to elucidate its natural phenomenon.
KEYWORDS
fractional differential equation, fractional complex transform
PAPER SUBMITTED: 2015-01-10
PAPER REVISED: 2015-05-05
PAPER ACCEPTED: 2015-05-07
PUBLISHED ONLINE: 2015-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI1504155L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Issue 4, PAGES [1155 - 1159]
REFERENCES
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HE'S FRACTIONAL DERIVATIVE FOR HEAT CONDUCTION IN A FRACTAL MEDIUM ARISING IN SILKWORM COCOON HIERARCHY

© 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