THERMAL SCIENCE

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Kang-Le Wang

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Shao-Wen Yao

NUMERICAL METHOD FOR FRACTIONAL ZAKHAROV-KUZNETSOV EQUATIONS WITH HE'S FRACTIONAL DERIVATIVE

ABSTRACT
In this paper, a fractional Zakharov-Kuznetsov equation with He's fractional derivative is studied by the fractional complex transform and He's homotopy perturbation method. The solution process is elucidated step by step to show its simplicity and effectiveness of the proposed method.
KEYWORDS
He's fractional derivative, homotopy perturbation method, fractional complex transform, fractional Zakharov-Kuznetsov equation
PAPER SUBMITTED: 2017-12-06
PAPER REVISED: 2018-11-26
PAPER ACCEPTED: 2018-11-26
PUBLISHED ONLINE: 2019-09-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1904163W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 4, PAGES [2163 - 2170]
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Numerical method for fractional Zakharov-Kuznetsov equations with He's fractional derivative

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