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APPROXIMATE ANALYTICAL SOLUTION FOR PHI-FOUR EQUATION WITH HE’S FRACTAL DERIVATIVE

ABSTRACT
This paper, for the first time ever, proposes a Laplace-like integral transform, which is called as He-Laplace transform, its basic properties are elucidated. The homotopy perturbation method coupled with this new transform becomes much effective in solving fractal differential equations. Phi-four equation with He’s derivative is used as an example to reveal the main merits of the present technology.
KEYWORDS
PAPER SUBMITTED: 2019-12-31
PAPER REVISED: 2020-06-28
PAPER ACCEPTED: 2020-06-28
PUBLISHED ONLINE: 2021-03-27
DOI REFERENCE: https://doi.org/10.2298/TSCI191231127D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 3, PAGES [2369 - 2375]
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© 2022 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