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arXiv 1007.1910nlin.SImath-phmath.MP
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分数阶非线性微分方程的分数阶变分迭代法

Fractional Variational Iteration Method for Fractional Nonlinear Differential Equations

Guo-cheng Wu

摘要:

近年来,分数阶微分方程的研究已通过著名的变分迭代法。然而,以往的工作都避免了分数阶导数项,并将其作为一个限制变分来处理。为了克服这些缺点,提出了一种分数阶变分迭代法。拉格朗日乘子可以明确地确定基于分数阶变分理论。

英文摘要:

Recently, fractional differential equations have been investigated via the famous variational iteration method. However, all the previous works avoid the term of fractional derivative and handle them as a restricted variation. In order to overcome such shortcomings, a fractional variational iteration method is proposed. The Lagrange multipliers can be identified explicitly based on fractional variational theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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