THERMAL SCIENCE

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Naveed Anjum

,

Qura Tul Ain

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
He’s fractional derivative, Time fractional Camassa-Holm (CH) equation, fractional complex transform, Homotopy perturbation method (HPM)
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 Issue 5, PAGES [3023 - 3030]
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Application of he’s fractional derivative and fractional complex transform for time fractional Camassa-Holm equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, 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