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Fractional cyclic integrals and Routh equations of fractional Lagrange system with combined Caputo derivatives |
Wang Lin-Li (王琳莉), Fu Jing-Li (傅景礼) |
Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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Abstract 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.
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Received: 10 April 2014
Revised: 26 May 2014
Accepted manuscript online:
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PACS:
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45.10.Hj
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(Perturbation and fractional calculus methods)
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02.30.Xx
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(Calculus of variations)
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45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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Fund: Project supported by the National Natural Science Foundations of China (Grant Nos. 11272287 and 11472247) and the Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT) (Grant No. IRT13097). |
Corresponding Authors:
Fu Jing-Li
E-mail: sqfujingli@163.com
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Cite this article:
Wang Lin-Li (王琳莉), Fu Jing-Li (傅景礼) Fractional cyclic integrals and Routh equations of fractional Lagrange system with combined Caputo derivatives 2014 Chin. Phys. B 23 124501
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