Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana-Baleanu derivative

被引：39

作者：

Inc, Mustafa ^{[1
]}

Yusuf, Abdullahi ^{[1
,2
]}

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

Baleanu, Dumitru ^{[3
,4
]}

机构：

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

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

[3] Cankaya Univ, Dept Math, TR-1406530 Ankara, Turkey

[4] Inst Space Sci, Bucharest, Romania

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 506卷

关键词：

Fractional logarithmic-KdV equation; AB derivative; Fixed-point theorem; Existence and uniqueness; And numerical simulations; KLEIN-GORDON EQUATIONS; LIE SYMMETRY ANALYSIS; 1ST INTEGRAL METHOD; OPTICAL SOLITONS; CONSERVATION-LAWS; PERTURBATION; MODEL; DARK; EVOLUTION;

D O I：

10.1016/j.physa.2018.04.092

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This work presents analysis of the logarithmic-KdV equation involving new fractional operator called Atangana-Baleanu (AB) fractional derivative with Mittag-Leffler (ML) type kernel. The existence and uniqueness of the governing equation having AB fractional derivative with ML type kernel is proved with the aid of a fixed-point theorem. We present numerical simulations by using iterative algorithm. The effectiveness of various parameters and variables on the displacement are presented in Figures 1 and 2. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：520 / 531

页数：12

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