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APPLICATION OF HE’S FRACTIONAL DERIVATIVE AND FRACTIONAL COMPLEX TRANSFORM FOR TIME FRACTIONAL CAMASSA-HOLM EQUATION

ABSTRACT
In this article He’s fractional derivative is studied for time fractional Camassa-Holm equation. To transform the considered fractional model into a differential equation, the fractional complex transform is used and He’s homotopy perturbation method is adopted to solve the equation. Physical understanding of the fractional complex transform is elucidated by the two-scale fractal theory.
KEYWORDS
PAPER SUBMITTED: 2019-09-30
PAPER REVISED: 2019-11-15
PAPER ACCEPTED: 2019-11-20
PUBLISHED ONLINE: 2019-12-22
DOI REFERENCE: https://doi.org/10.2298/TSCI190930450A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE 5, PAGES [3023 - 3030]
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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