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
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.
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