Formulation of Hamiltonian equations for fractional variational problems
S.Muslih, D. Baleanu
TL;DR
This paper extends Riewe's fractional Hamiltonian formulation to constrained systems, analyzing the consistency of constraints with equations of motion and illustrating with three detailed examples.
Contribution
It introduces a new fractional Hamiltonian framework for constrained systems and investigates the consistency conditions, expanding the theoretical foundation of fractional variational problems.
Findings
Established conditions for constraint consistency in fractional Hamiltonian systems
Analyzed three detailed examples of fractional constrained systems
Extended the theoretical framework of fractional variational calculus
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.
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