Fractional Hamilton formalism within Caputo's derivative
Baleanu, Dumitru ; Agrawal, Om P.
arXiv, 0612025 / Harvested from arXiv
In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canonical Hamiltonian are given, and a set of fractional Hamiltonian equations are obtained. Using an example, it is shown that the canonical fractional Hamiltonian and the fractional Euler-Lagrange formulations lead to the same set of equations.
Publié le : 2006-12-07
Classification:  Mathematical Physics
@article{0612025,
     author = {Baleanu, Dumitru and Agrawal, Om P.},
     title = {Fractional Hamilton formalism within Caputo's derivative},
     journal = {arXiv},
     volume = {2006},
     number = {0},
     year = {2006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0612025}
}
Baleanu, Dumitru; Agrawal, Om P. Fractional Hamilton formalism within Caputo's derivative. arXiv, Tome 2006 (2006) no. 0, . http://gdmltest.u-ga.fr/item/0612025/