Fractional Hamilton formalism within Caputo ’ s derivative

نویسندگان

  • Dumitru Baleanu
  • Om. P. Agrawal
چکیده

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 canoni-cal 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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تاریخ انتشار 2006