Stability Analysis of Fractional Delay Differential Equations by Lagrange Polynomial

摘要：

Abstract. 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.

关键词： Fractional calculus Fractional differential equation Lagrange polynomial Stability

作者: Xiangmei Zhang Anping Xu Xianzhou Guo

作者单位: Hebei University of Technology, Tianjin City, 300401, P.R. China

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-4

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）