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Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations
Journal article   Peer reviewed

Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations

Mohamed A. E. Herzallah and Dumitru Baleanu
Nonlinear dynamics, Vol.58(1-2), pp.385-391
01/10/2009
DOI: https://doi.org/10.1007/s11071-009-9486-z

Abstract

Engineering Engineering, Mechanical Mechanics Science & Technology Technology
This paper presents the fractional order Euler-Lagrange equations and the transversality conditions for fractional variational problems with fractional integral and fractional derivatives defined in the sense of Caputo and Riemann-Liouville. A fractional Hamiltonian formulation was developed and some illustrative examples were treated in detail.

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