Approximate analytical solution for Phi-four equation with He’s fractal derivative

Approximate analytical solution for Phi-four equation with He’s fractal derivative

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 e...

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Bibliographic Details
Main Authors: Deng Shuxian, Ge Xinxin
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2021-01-01
Series:Thermal Science
Subjects:
phi-four equation
he’s fractal derivative
he-laplace transform
homotopy perturbation method
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100127D.pdf
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spelling doaj-5200e8f328fb4e5bb2212e326dd33a022021-05-27T13:12:06ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632021-01-01253 Part B2369237510.2298/TSCI191231127D0354-98362100127DApproximate analytical solution for Phi-four equation with He’s fractal derivativeDeng Shuxian0Ge Xinxin1School of Science, Henan University of Engineering, Xinzheng, ChinaSchool of Management Engineering, Henan University of Engineering, Xinzheng, ChinaThis 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.http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100127D.pdfphi-four equationhe’s fractal derivativehe-laplace transformhomotopy perturbation method
collection DOAJ
language English
format Article
sources DOAJ
author Deng Shuxian
Ge Xinxin
spellingShingle Deng Shuxian
Ge Xinxin
Approximate analytical solution for Phi-four equation with He’s fractal derivative
Thermal Science
phi-four equation
he’s fractal derivative
he-laplace transform
homotopy perturbation method
author_facet Deng Shuxian
Ge Xinxin
author_sort Deng Shuxian
title Approximate analytical solution for Phi-four equation with He’s fractal derivative
title_short Approximate analytical solution for Phi-four equation with He’s fractal derivative
title_full Approximate analytical solution for Phi-four equation with He’s fractal derivative
title_fullStr Approximate analytical solution for Phi-four equation with He’s fractal derivative
title_full_unstemmed Approximate analytical solution for Phi-four equation with He’s fractal derivative
title_sort approximate analytical solution for phi-four equation with he’s fractal derivative
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2021-01-01
description 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.
topic phi-four equation
he’s fractal derivative
he-laplace transform
homotopy perturbation method
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100127D.pdf
work_keys_str_mv AT dengshuxian approximateanalyticalsolutionforphifourequationwithhesfractalderivative
AT gexinxin approximateanalyticalsolutionforphifourequationwithhesfractalderivative
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