Stability Analysis of Fractional Delay Differential Equations by Lagrange Polynomial

机译：拉格朗日多项式分数延迟微分方程的稳定性分析

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The paper is devoted to the numerical stability of fractional delay differential equations with non-smooth coefficients using the Lagrange collocation method. In this paper, based on the Grunwald-Letnikov fractional derivatives, we discuss the approximation of fractional differentiation by the Lagrange polynomial. Then we study the numerical stability of the fractional delay differential equations. Finally, the stability of the delayed Mathieu equation of fractional order is studied and examined by Lagrange collocation method.

机译：本文致力于使用拉格朗日配合方法与非平滑系数的分数延迟微分方程的数值稳定性。本文基于Grunwald-Letnov的分数衍生物，我们讨论了Lagrange多项式分数分化的近似。然后我们研究了分数延迟微分方程的数值稳定性。最后，通过拉格朗日搭配方法研究和检查了分数顺序延迟Mathieu方程的稳定性。

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《Symposium on fractional differentiation and its applications》|2012年||共4页
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Xiangmei Zhang; Anping Xu; Xianzhou Guo;
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正文语种
中图分类数学;
关键词
Fractional calculus; Fractional differential equation; Lagrange polynomial; Stability;

机译：分数微积分;分数微分方程;拉格朗日多项式;稳定性;

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4. Stability Analysis of Fractional Delay Differential Equations by Lagrange Polynomial [C] . Xiangmei Zhang, Anping Xu, Xianzhou Guo Proceedings of the Fifth symposium on fractional differentiation and its applications . 2012

机译：基于Lagrange多项式的分数阶时滞微分方程的稳定性分析。
5. Stability and bifurcation analysis on delay differential equations. [D] . Lin, Xihui. 2012

机译：时滞微分方程的稳定性和分叉分析。
6. Stability Boundedness and Lagrange Stability of Fractional Differential Equations with Initial Time Difference [O] . Muhammed Çiçek, Coşkun Yakar, Bülent Oğur -1

机译：具有初始时间差的分数阶微分方程的稳定性有界性和Lagrange稳定性
7. Stability Analysis of Fractional Delay Differential Equations by Lagrange Polynomial [O] . Xiangmei Zhang A, Anping Xu, Xianzhou Guo C 2016

机译：基于Lagrange多项式的分数阶时滞微分方程的稳定性分析

Stability Analysis of Fractional Delay Differential Equations by Lagrange Polynomial

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