Fractional cyclic integrals and Routh equations of fractional Lagrange system with combined Caputo derivatives

In this paper, we develop a fractional cyclic integral and a Routh equation for fractional Lagrange system defined in terms of fractional Caputo derivatives. The fractional Hamilton principle and the fractional Lagrange equations of the system are obtained under a combined Caputo derivative. Further...

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Bibliographic Details
Published in:Chinese physics B 2014-12, Vol.23 (12), p.124501-1-124501-4
Main Authors: Wang, Lin-Li, Fu, Jing-Li
Format: Article
Language:English
Subjects:
Derivatives
Hamilton's principle
Integrals
Mathematical analysis
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Summary:In this paper, we develop a fractional cyclic integral and a Routh equation for fractional Lagrange system defined in terms of fractional Caputo derivatives. The fractional Hamilton principle and the fractional Lagrange equations of the system are obtained under a combined Caputo derivative. Furthermore, the fractional cyclic integrals based on the Lagrange equations are studied and the associated Routh equations of the system are presented. Finally, two examples are given to show the applications of the results.
ISSN:1674-1056
1741-4199
DOI:10.1088/1674-1056/23/12/124501