Fractional Hamilton formalism within Caputo's derivative

Abstract

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.

8 pages

References in corpus (5)

• Time fractional Schrodinger equation
• Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives
• Formulation of Hamiltonian equations for fractional variational problems
• Nonconservative Lagrangian Mechanics: A generalized function approach
• Extending Bauer's corollary to fractional derivatives

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