Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 38, Issue 26, Pages 5929-5943Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/38/26/007
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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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