CIRCULATORY INTEGRAL AND ROUTH'S EQUATIONS OF LAGRANGE SYSTEMS WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES

被引：0

作者：

Fu, Jing-Li ^{[1
]}

Zhang, Lijun ^{[2
]}

Khalique, Chaudry ^{[3
]}

Guo, Ma-Li ^{[4
]}

机构：

[1] Zhejiang Univ Water Resources & Elect Power, Coll Mech & Automot Engn, Hangzhou, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Shandong, Peoples R China

[3] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus, Mmabatho, South Africa

[4] Zhejiang Sci Tech Univ, Inst Math Phys, Hangzhou, Peoples R China

来源：

THERMAL SCIENCE | 2021年 / 25卷 / 02期

关键词：

circulatory integral; routh's equation; Lagrange system; Riemann-Liouville fractional derivatives;

D O I：

10.2298/TSCI200520034F

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper, the circulatory integral and Routh's equations of Lagrange systems are established with Riemann-Liouville fractional derivatives, and the circulatory integral of Lagrange systems is obtained by making use of the relationship between Riemann-Liouville fractional integrals and fractional derivatives. Thereafter, the Routh's equations of Lagrange systems are given based on the fractional circulatory integral. Two examples are presented to illustrate the application of the results.

引用

页码：1355 / 1363

页数：9

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