Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations

被引：32

作者：

Yusuf, Abdullahi ^{[1
,2
]}

Inc, Mustafa ^{[1
]}

Aliyu, Aliyu Isa ^{[1
,2
]}

Baleanu, Dumitru ^{[3
,4
,5
]}

机构：

[1] Firat Univ, Dept Math, Sci Fac, TR-23119 Elazig, Turkey

[2] Fed Univ Dutse, Dept Math, Sci Fac, Jigawa 7156, Nigeria

[3] Hohai Univ, Coll Mech & Mat, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China

[4] Cankaya Univ, Dept Math, Gretmenler Cad, Ankara, Turkey

[5] Inst Space Sci, Bucharest, Romania

来源：

CHAOS SOLITONS & FRACTALS | 2018年 / 116卷

关键词：

Fractional RHE; Fractional CmKdV; AB derivative; CF; FHPTM; Numerical simulations; KLEIN-GORDON EQUATIONS; LIE SYMMETRY ANALYSIS; OPTICAL SOLITONS; PERTURBATION; MODEL;

D O I：

10.1016/j.chaos.2018.09.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, the efficiency of the Atangana-Baleanu (AB) derivative over Caputo-Fabrizio (CF) to some nonlinear partial differential equation is presented. The considered equations are Rosenou-Haynam equation (RHE) and a class of mKdV (CmKdV) equation. The effective and efficient technique called the fractional homotopy perturbation transform method (FHPTM) is applied for the investigation of the governing equations. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：220 / 226

页数：7

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