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Solutions of fractional differential equations by Sumudu transform and variational iteration method

机译：Sumudu变换和变分迭代法求解分数阶微分方程

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来源
《The Journal of Nonlinear Sciences and its Applications》 |2016年第4期|共页
作者
P. Goswami; R. Alqahtani;
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中图分类数学;
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入库时间 2022-08-18 14:59:14

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专利

1. Solutions of fractional differential equations by Sumudu transform and variational iteration method [J] . P. Goswami, R. Alqahtani The Journal of Nonlinear Sciences and its Applications . 2016,第4期

机译：Sumudu变换和变分迭代法求解分数阶微分方程
2. In this paper, we implement the fractional complex transform method to convert the nonlinear fractional Klein-Gordon equation (FKGE) to an ordinary differential equation. We use the variational iteration method (VIM) to solve the resulting ODE. The fractional derivatives are presented in terms of the Caputo sense. Some numerical examples are presented to validate the proposed techniques. Finally, a comparison with the numerical solution using Runge-Kutta of order four is given. [J] . M. M. Khader, M. Adel Nonlinear engineering: Modeling and application . 2016,第3期

机译：在本文中，我们采用分数阶复杂变换方法将非线性分数阶Klein-Gordon方程（FKGE）转换为常微分方程。我们使用变分迭代方法（VIM）来解决所得的ODE。分数导数以Caputo形式表示。提出了一些数值例子来验证所提出的技术。最后，与使用四阶Runge-Kutta的数值解进行了比较。
3. A coupling method involving the Sumudu transform and the variational iteration method for a class of local fractional diffusion equations [J] . F. Gao, H. M. Srivastava, X.-J. Yang, The Journal of Nonlinear Sciences and its Applications . 2016,第11期

机译：一类局部分数阶扩散方程的包含Sumudu变换和变分迭代方法的耦合方法
4. Approximate Solutions For Fractional Delay Differential Equations By Using Sumudu Transform Method [C] . Wurood R. Abd AL-Hussein, Saad N. Al-Azzawi International Conference of Mathematics . 2019

机译：使用Sumudu变换方法对分数延迟微分方程的近似解
5. The numerical solutions of fractional differential equations with fractional Taylor vector [D] . Krishnasamy Saraswathy, Vidhya. 2016

机译：分数阶泰勒向量的分数阶微分方程的数值解
6. A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation [O] . Kangle Wang, Sanyang Liu -1

机译：分数阶柯西反应扩散方程的Sumudu变换迭代法
7. Exact Solutions of Fractional Partial Differential Equations by Sumudu Transform Iterative Method [O] . Manoj Kumar, Varsha Daftardar-Gejji 2019

机译：Sumudu变换迭代方法的分数偏微分方程的精确解

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