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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
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 4, PAGES [2507 - 2513]
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© 2020 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, 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