Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel

被引：187

作者：

Kumar, Devendra ^{[1
]}

Singh, Jagdev ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

Sushila ^{[4
]}

机构：

[1] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India

[2] Cankaya Univ, Fac Arts & Sci, Dept Math, Eskisehir Yolu 29 Km, TR-06790 Etimesgut, Turkey

[3] Inst Space Sci, Magurele, Romania

[4] Vivekananda Global Univ, Dept Phys, Jaipur 303012, Rajasthan, India

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 492卷

关键词：

Fractional regularized long-wave equation; Atangana-Baleanu derivative; Ion acoustic plasma waves; Shallow water waves; Existence and uniqueness; Fixed-point theorem; MODEL;

D O I：

10.1016/j.physa.2017.10.002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, we aim to present a new fractional extension of regularized long-wave equation. The regularized long-wave equation is a very important mathematical model in physical sciences, which unfolds the nature of shallow water waves and ion acoustic plasma waves. The existence and uniqueness of the solution of the regularized long-wave equation associated with Atangana Baleanu fractional derivative having Mittag-Leffler type kernel is verified by implementing the fixed-point theorem. The numerical results are derived with the help of an iterative algorithm. In order to show the effects of various parameters and variables on the displacement, the numerical results are presented in graphical and tabular form. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：155 / 167

页数：13

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