THERMAL SCIENCE

International Scientific Journal

Shuxian DengORCID

,

Xinxin Ge

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
Phi-four equation, He’s fractal derivative, He-Laplace transform, homotopy perturbation method
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 No. 3, PAGES [2369 - 2375]
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Approximate analytical solution for Phi-four equation with He’s fractal derivative

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