Open AccessCharacteristic equation method for fractal heat-transfer problem via local fractional calculus
Author(s) -
Gengyuan Liu
Publication year - 2016
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/tsci16s3751l
Subject(s) - fractional calculus , fractal , heat transfer , differentiable function , partial differential equation , heat equation , mathematics , mathematical analysis , differential equation , calculus (dental) , physics , thermodynamics , medicine , dentistry
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
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