Fractional Hamilton formalism within Caputo's derivative

Details Fractional Hamilton formalism within Caputo's derivative Fractional Hamilton formalism within Caputo's derivative

2006-12-07

arxiv.org/abs/math-ph/0612025v1

Czechoslovak Journal of Physics, 56 (10-11): 1087-1092 (2006)

Physics

Mathematical Physics

8 pages

Scientific paper

10.1007/s10582-006-0406-x

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.

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