THERMAL SCIENCE

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Shuxian Deng

,

Zihao Deng

APPROXIMATE ANALYTICAL SOLUTIONS OF GENERALIZED FRACTIONAL KORTEWEG-DE VRIES EQUATION

ABSTRACT
In this paper, a generalized Korteweg-de Vries equation involving a temporal fractional derivative and a spatial fractal derivative is studied. The temporal fractional derivative can describe the non-local property and memory property, while the spatial fractal derivative can model the space discontinuity. Its approximate analytical solution is presented using He's variational iteration method, which is extremely effective for the fractal-fractional differential equations.
KEYWORDS
generalized fractal Korteweg-de Vries equation, fractal derivative, Caputo derivative, variational iteration method
PAPER SUBMITTED: 2020-01-22
PAPER REVISED: 2022-07-18
PAPER ACCEPTED: 2022-07-18
PUBLISHED ONLINE: 2023-06-11
DOI REFERENCE: https://doi.org/10.2298/TSCI2303873D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [1873 - 1879]
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Approximate analytical solutions of generalized fractional Korteweg-de Vries equation

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