Convergence of Variational Iteration Method for Fractional Delay Integrodifferential-Algebraic Equations

Convergence of Variational Iteration Method for Fractional Delay Integrodifferential-Algebraic Equations
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DOI:
10.1155/2017/6749643
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发表时间:
2017
影响因子:
--
通讯作者:
Yayun Fu;Hongliang Liu;A. Xiao
Yayun Fu;Hongliang Liu;A. Xiao
中科院分区:
工程技术4区
文献类型:
--
作者:
Yayun Fu;Hongliang Liu;A. Xiao

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分数阶时滞积分微分代数方程常用于科学与工程中的许多实际建模问题,具有时滞、记忆、约束限制等特点。这给数值计算带来了一定的困难。迭代方法是不错的选择。本文利用适当的约束变分构造了求解这两个问题的变分迭代法。这克服了大存储量和代数约束的限制所带来的困难,推广了前人的结论。
Fractional order delay integrodifferential-algebraic equations are often used for many practical modeling problems in science and engineering, which have time lag, memory, constraint limit, and so forth. These yield some difficulties in numerical computation. The iterative methods are good choice. In the present paper, we construct variational iteration method for solving them by using the appropriate restricted variation. This overcomes the difficulties caused by limitations of large storage amount and algebraic constraint and extends the previous conclusions.