The first integral method for solving some conformable fractional differential equations

被引：32

作者：

Ilie, Mousa ^{[1
,2
]}

Biazar, Jafar ^{[2
,3
]}

Ayati, Zainab ^{[4
]}

机构：

[1] Islamic Azad Univ, Guilan Sci & Res Branch, Dept Math, Rasht, Iran

[2] Islamic Azad Univ, Rasht Branch, Dept Math, Rasht, Iran

[3] Univ Guilan, Fac Math Sci, Dept Appl Math, POB 41335-1914, Rasht, Gilan, Iran

[4] Univ Guilan, Fac Technol & Engn East Guilan, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2018年 / 50卷 / 02期

关键词：

Conformable fractional derivative; Fractional first integral method; Fractional Burgers-KdV equation; Fractional Klein-Gordon equation; Fractional Zakharov-Kuznetsov equation; HOMOTOPY-PERTURBATION METHOD; TRANSFORM; SYSTEM; ORDER;

D O I：

10.1007/s11082-017-1307-x

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Analytic behavior of fractional differential equations are often seems confusing. Thus, finding comprehensive methods for solving those sounds of high importance. In the present study, Feng's first integral method which is based on the ring theory of commutative algebra, is developed for analytic treatment fractional differential equations based on conformable fractional derivative. Furthermore, some important nonlinear fractional differential equations, such as Burgers-KdV, Klein-Gordon, KdV-Zakharov-Kuznetsev, and Zakharov-Kuznetsov equations are solved by the proposed approach.

引用

页数：11

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