THERMAL SCIENCE

International Scientific Journal

Yi Wang

,

Xiao-Xu Lu

,

Carlo Cattanic

,

Juan L.G Guirao

,

Xiao-Jun Yang

SOLVING FRACTAL STEADY HEAT-TRANSFER PROBLEMS WITH THE LOCAL FRACTIONAL SUMUDU TRANSFORM

ABSTRACT
In this paper the linear oscillator problem in fractal steady heat-transfer is studied within the local fractional theory. In particular, the local fractional Sumudu transform (LFST) will be used to solve both the homogeneous and the non-homogeneous local fractional oscillator equations (LFOEs) under fractal steady heat-transfer. It will be shown that the obtained non-differentiable solutions characterize the fractal phenomena with and without the driving force in fractal steady heat transfer at low excess temperatures.
KEYWORDS
fractal heat transfer, oscillator equation, LFST, local fractional derivative
PAPER SUBMITTED: 2015-10-25
PAPER REVISED: 2015-11-25
PAPER ACCEPTED: 2015-11-27
PUBLISHED ONLINE: 2015-12-13
DOI REFERENCE: https://doi.org/10.2298/TSCI151025191W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 2, PAGES [S637 - S641]
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Solving fractal steady heat-transfer problems with the local fractional Sumudu transform

© 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