Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations

M.H. Atabakzadeh; M.H. Akrami; G.H. Erjaee

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Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations

机译：Chebyshev运算矩阵法求解多阶分数阶常微分方程

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摘要

The aim of this article is to present an analytical approximation solution for linear and nonlinear multi-order fractional differential equations (FDEs) by extending the application of the shifted Chebyshev operational matrix. For this purpose, we convert FDE into a counterpart system and then using proposed method to solve the resultant system. Our results in solving four different linear and nonlinear FDE, confirm the accuracy of proposed method.

机译：本文的目的是通过扩展移位的Chebyshev运算矩阵的应用，为线性和非线性多阶分数阶微分方程（FDE）提供一个解析近似解。为此，我们将FDE转换为对应的系统，然后使用所提出的方法来求解结果系统。我们通过求解四种不同的线性和非线性FDE的结果，证实了所提出方法的准确性。

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来源
《Applied Mathematical Modelling》 |2013年第21期|8903-8911|共9页
作者
M.H. Atabakzadeh; M.H. Akrami; G.H. Erjaee;
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作者单位

Department of Mathematics, College of Science, Shiraz University, 74811-71466 Shiraz, Iran;

Department of Mathematics, College of Science, Shiraz University, 74811-71466 Shiraz, Iran;

Department of Mathematics, College of Science, Shiraz University, 74811-71466 Shiraz, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Fractional differential equation; Chebyshev polynomial; Operational matrix; Caputo derivative;

机译：分数阶微分方程;切比雪夫多项式;运算矩阵;卡普托衍生物;

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Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations

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