Stability Analysis of Fractional Delay Differential Equations by Lagrange Polynomial

机译：基于Lagrange多项式的分数阶时滞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：本文采用拉格朗日搭配法，研究了具有非光滑系数的分数阶时滞微分方程的数值稳定性。在本文中，基于Grunwald-Letnikov分数阶导数，我们讨论了用Lagrange多项式逼近分数阶微分的方法。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了分数阶时滞Mathieu方程的稳定性。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-4|共4页
会议地点 Nanjing(CN)
作者
Xiangmei Zhang; Anping Xu; Xianzhou Guo;
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作者单位

Hebei University of Technology, Tianjin City, 300401, P.R. China;

Hebei University of Technology, Tianjin City, 300401, P.R. China;

Hebei University of Technology, Tianjin City, 300401, P.R. China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Fractional calculus; Fractional differential equation; Lagrange polynomial; Stability;

机译：分数阶微分;分数阶微分方程;拉格朗日多项式;稳定性;

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6. Stability Boundedness and Lagrange Stability of Fractional Differential Equations with Initial Time Difference [O] . Muhammed Çiçek, Coşkun Yakar, Bülent Oğur -1

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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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