Turkish Journal of Physics
DOI
-
Abstract
Fractional derivatives are used to construct the Lagrangian and the Hamiltonian formulation for non-conservative systems. To clarify the theory of Riewe two interesting examples are given. The potentials are obtained using the Laplace transform operator for fractional derivatives and the Lagrangian and Hamiltonian formulations are constructed for the two systems. Besides, it is shown that the Hamilton equations of motion are in agreement with the Euler-Lagrange equations for these systems.
Keywords
Fractional derivatives, Hamiltonian Systems, Non-Conservative systems, Laplace Transform.
First Page
213
Last Page
221
Recommended Citation
RABEI, EQAB M.; ALHALHOLY, TAREQ S.; and TAANI, A. A. (2004) "On Hamiltonian Formulation of Non-Conservative Systems," Turkish Journal of Physics: Vol. 28: No. 4, Article 1. Available at: https://journals.tubitak.gov.tr/physics/vol28/iss4/1
