Fractional Lie group method of the time-fractional Boussinesq equation

被引：67

作者：

Jafari, Hossein ^{[1
]}

Kadkhoda, Nematollah ^{[2
]}

Baleanu, Dumitru ^{[3
,4
]}

机构：

[1] Univ Mazandaran, Dept Math, Babol Sar, Iran

[2] Bozorgmehr Univ Qaenat, Fac Basic Sci, Dept Math, Qaenat, Iran

[3] Cankaya Univ, Fac Art & Sci, Dept Math, TR-0630 Ankara, Turkey

[4] Inst Space Sci, MG 23, Bucharest 76900, Romania

来源：

NONLINEAR DYNAMICS | 2015年 / 81卷 / 03期

关键词：

Fractional differential equation; Lie group; Time-fractional Boussinesq equation; Riemann-Liouville derivative; Group-invariant solutions;

D O I：

10.1007/s11071-015-2091-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Finding the symmetries of the nonlinear fractional differential equations is a topic which has many applications in various fields of science and engineering. In this manuscript, firstly, we are interested in finding the Lie point symmetries of the time-fractional Boussinesq equation. After that, by using the infinitesimal generators, we determine their corresponding invariant solutions.

引用

页码：1569 / 1574

页数：6

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