Caputo分数阶常微分方程变分迭代法的 收敛性分析
首发时间:2011-03-02
摘要:本文利用变分迭代法求解Caputo分数阶常微分方程初值问题。证明了变分迭代方法求解这类方程初值问题是收敛的。通过数值实验,表明了变分迭代方法求解这类方程的初值问题是有效的。
关键词: 分数阶微分方程 变分迭代法 Caputo导数 收敛性
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Convergence Analysis of Variational Iteration Method for Caputo Fractional Differential Equations
Abstract:In this paper, the variational iteration method is applied to solve initial value problems of Caputo fractional differential equations. The convergence of the variational iteration method for solving the initial value problems of this class of equation has been proved. The numerical examples show the efficiency of the variational iteration method for solving the initial value problems of this class of equations.
Keywords: Fractional differential equation Variational iteration method Caputo derivatives Convergence
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