Discrete Fractional Lagrange Equations of Nonconservative Systems

被引：0

作者：

Song C. ^{[1
]}

Zhang Y. ^{[2
]}

机构：

[1] School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou

[2] College of Civil Engineering, Suzhou University of Science and Technology, Suzhou

来源：

Transactions of Nanjing University of Aeronautics and Astronautics | 2019年 / 36卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Discrete Lagrange equation; Fractional difference operator; Nonconservative system; Time scale;

D O I：

10.16356/j.1005-1120.2019.01.017

中图分类号：

学科分类号：

摘要：

In order to study discrete nonconservative system, Hamilton's principle within fractional difference operators of Riemann -Liouville type is given. Discrete Lagrange equations of the nonconservative system as well as the nonconservative system with dynamic constraint are established within fractional difference operators of RiemannLiouville type from the view of time scales. Firstly, time scale calculus and fractional calculus are reviewed. Secondly, with the help of the properties of time scale calculus, discrete Lagrange equation of the nonconservative system within fractional difference operators of Riemann-Liouville type is presented. Thirdly, using the Lagrange multipliers, discrete Lagrange equation of the nonconservative system with dynamic constraint is also established. Then two special cases are discussed. Finally, two examples are devoted to illustrate the results. © 2019, Editorial Department of Transactions of NUAA. All right reserved.

引用

页码：175 / 180

页数：5

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