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

被引：29

作者：

Kumar, Devendra ^{[1
]}

Singh, Jagdev ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

机构：

[1] JECRC Univ, Dept Math, Jaipur, Rajasthan, India

[2] Cankaya Univ, Fac Arts & Sci, Dept Math, Etimesgut, Turkey

[3] Inst Space Sci, Magurele, Romania

来源：

THERMAL SCIENCE | 2018年 / 22卷 / 02期

关键词：

fractional model of modified Kawahara equation; water-waves; Caputo-Fabrizio fractional derivative; iterative method; WAVES; OPERATORS;

D O I：

10.2298/TSCI160826008K

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：789 / 796

页数：8

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