New exact solutions of Burgers' type equations with conformable derivative

被引：185

作者：

Cenesiz, Yucel ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

Kurt, Ali ^{[4
]}

Tasbozan, Orkun ^{[4
]}

机构：

[1] Selcuk Univ, Dept Math, Konya, Turkey

[2] Cankaya Univ, Dept Math, Ankara, Turkey

[3] Inst Space Sci, Magurele, Romania

[4] Mustafa Kemal Univ, Dept Math, Antakya, Turkey

来源：

WAVES IN RANDOM AND COMPLEX MEDIA | 2017年 / 27卷 / 01期

关键词：

First integral method; Burgers' equation; modified Burgers equation; conformable derivative; Burgers-Korteweg-de Vries equation; PARTIAL-DIFFERENTIAL-EQUATIONS;

D O I：

10.1080/17455030.2016.1205237

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the new exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative. We use the first integral method to establish the exact solutions for time-fractional Burgers' equation, modified Burgers' equation, and Burgers-Korteweg-de Vries equation. We report that this method is efficient and it can be successfully used to obtain new analytical solutions of nonlinear FDEs.

引用

页码：103 / 116

页数：14

共 36 条

[1] On conformable fractional calculus [J].