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Chin. Phys. B, 2014, Vol. 23(12): 124501    DOI: 10.1088/1674-1056/23/12/124501
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

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
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.
Keywords:  fractional cyclic integral      fractional Routh equation      combined Caputo fractional derivative  
Received:  10 April 2014      Revised:  26 May 2014      Accepted manuscript online: 
PACS:  45.10.Hj (Perturbation and fractional calculus methods)  
  02.30.Xx (Calculus of variations)  
  45.20.Jj (Lagrangian and Hamiltonian mechanics)  
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

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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