A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation

被引：30

作者：

Ali, Mohamed R. ^{[1
]}

机构：

[1] Benha Univ, Benha Fac Engn, Dept Math, Banha, Egypt

来源：

JOURNAL OF APPLIED MATHEMATICS | 2019年 / 2019卷

关键词：

Algebra - Nonlinear equations - Ordinary differential equations;

D O I：

10.1155/2019/3456848

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deem the time-fractional Benjamin-Ono (BO) equation out of the Riemann-Liouville (RL) derivative by applying the Lie symmetry analysis (LSA). By first using prolongation theorem to investigate its similarity vectors and then using these generators to transform the time-fractional BO equation to a nonlinear ordinary differential equation (NLODE) of fractional order, we complete the solutions by utilizing the power series method (PSM).

引用

页数：7

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