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.
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The research reported in this paper was partially supported by the Scientific and Technical Research Council of Turkey.
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Baleanu, D., Agrawal, O.P. Fractional hamilton formalism within caputo’s derivative. Czech J Phys 56, 1087–1092 (2006). https://doi.org/10.1007/s10582-006-0406-x
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DOI: https://doi.org/10.1007/s10582-006-0406-x