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Zbl 1221.34008
Baleanu, Dumitru; Trujillo, Juan I.
A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1111-1115 (2010). ISSN 1007-5704

Summary: We investigate the fractional Caputo derivative of a composition function. The obtained results are applied to investigate the fractional Euler--Lagrange and Hamilton equations for constrained systems. The approach is applied within an illustrative.
MSC 2000:
*34A08
26A33 Fractional derivatives and integrals (real functions)
45J05 Integro-ordinary differential equations
70H03 Lagrange's equations

Keywords: fractional Lagrangians; fractional calculus; fractional Caputo derivative; fractional Euler; Lagrange equations; Faà di Bruno formula

Cited in: Zbl 1231.34006

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