THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Devendra Kumar

,

Jagdev Singh

,

Dumitru Baleanu

MODIFIED KAWAHARA EQUATION WITHIN A FRACTIONAL DERIVATIVE WITH NON-SINGULAR KERNEL

ABSTRACT
The article addresses a time-fractional modified Kawahara equation through a fractional derivative with exponential kernel. The Kawahara equation describes the generation of non-linear water-waves in the long-wavelength regime. The numerical solution of the fractional model of modified version of Kawahara equation is derived with the help of iterative scheme and the stability of applied technique is established. In order to demonstrate the usability and effectiveness of the new fractional derivative to describe water-waves in the long-wavelength regime, numerical results are presented graphically.
KEYWORDS
fractional model modified Kawahara equation, water waves, Caputo-Fabrizio fractional derivative, iterative method
PAPER SUBMITTED: 2016-08-26
PAPER REVISED: 2017-01-09
PAPER ACCEPTED: 2017-01-14
PUBLISHED ONLINE: 2017-02-12
DOI REFERENCE: https://doi.org/10.2298/TSCI160826008K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Issue 2, PAGES [789 - 796]
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Modified Kawahara equation within a fractional derivative with non-singular kernel

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