Turkish Journal of Physics
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.
Fractional derivatives, Hamiltonian Systems, Non-Conservative systems, Laplace Transform.
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