Fractional Generalization of Gradient and Hamiltonian Systems

Details Fractional Generalization of Gradient and Hamiltonian Systems Fractional Generalization of Gradient and Hamiltonian Systems

2006-02-10

arxiv.org/abs/math/0602208v1

Journal of Physics A 38 (2005) 5929-5943

Mathematics

Dynamical Systems

16 pages

Scientific paper

We consider a fractional generalization of Hamiltonian and gradient systems.
We use differential forms and exterior derivatives of fractional orders. We
derive fractional generalization of Helmholtz conditions for phase space.
Examples of fractional gradient and Hamiltonian systems are considered. The
stationary states for these systems are derived.

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