Analysis of a New Fractional Model for Damped Bergers' Equation

被引：29

作者：

Singh, Jagdev ^{[1
]}

Kumar, Devendra ^{[1
]}

Al Qurashi, Maysaa ^{[2
]}

Baleanu, Dumitru ^{[3
,4
]}

机构：

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

[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11495, Saudi Arabia

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

[4] Inst Space Sci, Magurele, Romania

来源：

OPEN PHYSICS | 2017年 / 15卷 / 01期

关键词：

Time-fractional damped Bergers' equation; Nonlinear equation; Caputo-Fabrizio fractional derivative; Iterative method; Fixed-point theorem; HOMOTOPY ANALYSIS METHOD; BURGERS;

D O I：

10.1515/phys-2017-0005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article, we present a fractional model of the damped Bergers' equation associated with the Caputo-Fabrizio fractional derivative. The numerical solution is derived by using the concept of an iterative method. The stability of the applied method is proved by employing the postulate of fixed point. To demonstrate the effectiveness of the used fractional derivative and the iterative method, numerical results are given for distinct values of the order of the fractional derivative.

引用

页码：35 / 41

页数：7

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