Lagrange equations of nonholonomic systems with fractional derivatives

doi:10.1088/1674-1056/19/12/120301

Abstract This paper obtains Lagrange equations of nonholonomic systems with fractional derivatives. First, the exchanging relationships between the isochronous variation and the fractional derivatives are derived. Secondly, based on these exchanging relationships, the Hamilton's principle is presented for non-conservative systems with fractional derivatives. Thirdly, Lagrange equations of the systems are obtained. Furthermore, the d'Alembert–Lagrange principle with fractional derivatives is presented, and the Lagrange equations of nonholonomic systems with fractional derivatives are studied. An example is designed to illustrate these results.

Keywords: fractional derivative d'Alembert–Lagrange principle Lagrange equation nonholonomic system

Received: 09 July 2010
Revised: 26 July 2010
Accepted manuscript online:

PACS:	0320
	4610

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11072218 and 10672143).

Cite this article:

Zhou Sha(周莎), Fu Jing-Li(傅景礼), and Liu Yong-Song(刘咏松) Lagrange equations of nonholonomic systems with fractional derivatives 2010 Chin. Phys. B 19 120301

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