Formulation of Hamiltonian Equations for Fractional Variational Problems
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Open Access Color
BRONZE
Green Open Access
Yes
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Abstract
An extension of Riewe's fractional Hamiltonian formulation is presented for fractional constrained systems. The conditions of consistency of the set of constraints with equations of motion are investigated. Three examples of fractional constrained systems are analyzed in details.
Description
Keywords
Fractional Derivative, Hamiltonian System, Non-Conservative Systems, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics, Hamilton's equations, Constrained dynamics, Dirac's theory of constraints, Fractional derivatives and integrals, non-conservative systems, Other variational principles in mechanics, fractional derivative, Hamiltonian system
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Muslih, Sami I.; Baleanu, Dumitru, "Formulation of Hamiltonian equations for fractional variational problems", Czechoslovak Journal Of Physics, Vol.55, No.6, pp.633-642, (2005).
WoS Q
Scopus Q
OpenCitations Citation Count
69
Volume
55
Issue
6
Start Page
633
End Page
642
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CrossRef : 62
Scopus : 95
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