Numerical Method for the Solution of Logistic Differential Equations of Fractional Order

Hat?ra Günerhan

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Numerical Method for the Solution of Logistic Differential Equations of Fractional Order

机译：分数阶Logistic微分方程解的数值方法

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In this paper, Numerical solution of Fractional Order Logistic Equations is considered by fractional differential transform method (FDTM). The method provides the solution quickly in the form of a convergent series. Our method reduces the computational difficulties existing in the other traditional methods. To show the efficacy of the results, two examples are considered.

机译：本文采用分数阶微分变换法（FDTM）考虑分数阶对数逻辑方程的数值解。该方法以收敛级数的形式快速提供解决方案。我们的方法减少了其他传统方法中存在的计算困难。为了显示结果的有效性，考虑了两个示例。

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《Turkish Journal of Analysis and Number Theory》 |2019年第2期|共4页
作者
Hat?ra Günerhan;
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中图分类数学;
关键词
fractional differential transform method (FDTM)Fractional Order Logistic Equations (FOLE)Caputo fractional derivative;

机译：分数阶微分变换方法（FDTM）分数阶逻辑方程（FOLE）分数阶微分;

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专利

1. 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。
2. Numerical Solutions and Solitary Wave Solutions of Fractional KdV Equations using Modified Fractional Reduced Differential Transform Method1 [J] . S. Saha Ray Computational mathematics and mathematical physics . 2013,第12期

机译：分数阶归约化微分变换方法的分数阶KdV方程的数值解和孤波解
3. Analytical Solution with Tanh-Method and Fractional Sub-Equation Method for Non-Linear Partial Differential Equations and Corresponding Fractional Differential Equation Composed With Jumarie Fractional Derivative [J] . Uttam Ghosh, Srijan Sengupta, Susmita Sarkar, International Journal of Applied Mathematics & Statistics . 2016,第3期

机译：非线性偏微分方程及其对应的分数阶微分方程与Jumarie分数阶导数组成的Tanh方法和分数次方程方法的解析解
4. The fractional Chebyshev collocation method for the numerical solution of fractional differential equations with Riemann-Liouville derivatives [C] . Arman Dabiri, Laya Karimi Annual American Control Conference . 2019

机译：Riemann-Liouville导数分数阶微分方程数值解的分数切比雪夫搭配方法
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. Data for numerical solution of Caputos and Riemann–Liouvilles fractional differential equations [O] . David E. Betancur-Herrera, Nicolas Muñoz-Galeano 2020

机译：Caputo和Riemann-Liouville分数阶微分方程数值解的数据
7. Numerical Method for the Solution of Logistic Differential Equations of Fractional Order [O] . Hatıra Günerhan 2019

机译：分数顺序逻辑微分方程解决的数值方法

Numerical Method for the Solution of Logistic Differential Equations of Fractional Order

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