THERMAL SCIENCE

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Kang-Le Wang

,

Shao-Wen Yao

HE'S FRACTIONAL DERIVATIVE FOR THE EVOLUTION EQUATION

ABSTRACT
In this paper, He's fractional derivative is adopted to establish fractional evolution equations in a fractal space. He's fractional complex transform is used to convent the fractional evolution equation into its traditional partner, and the homotopy perturbation method is used to solve the equations. Some illustrative examples are presented to show that the proposed technology is very excellent.
KEYWORDS
He’s fractional derivative, fractional complex transform, two-scale transform, homotopy perturbation method, fractional evolution equation, variational principle
PAPER SUBMITTED: 2018-01-20
PAPER REVISED: 2019-10-28
PAPER ACCEPTED: 2019-10-28
PUBLISHED ONLINE: 2020-06-21
DOI REFERENCE: https://doi.org/10.2298/TSCI2004507W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 4, PAGES [2507 - 2513]
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He's fractional derivative for the evolution equation

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