Open AccessSolving fractal steady heat-transfer problems with the local fractional Sumudu transform
Author(s) -
Yi Wang,
Xiaoxu Lü,
Carlo Cattanic,
Juan L. G. Guirao,
XiaoJun Yang
Publication year - 2015
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci151025191w
Subject(s) - fractal , homogeneous , heat transfer , differentiable function , mathematics , transfer (computing) , mathematical analysis , thermodynamics , physics , computer science , parallel computing
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
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