Remarks on fractional Hamiltonian formulation of discrete systems with examples
Department of Physics, Faculty of applied Sciences, Palestine Technical University- Kadoorie, Tulkarm P 305, Palestine.
Research Article
Global Journal of Engineering and Technology Advances, 2022, 11(01), 029–035.
Article DOI: 10.30574/gjeta.2022.11.1.0065
Publication history:
Received on 02 March 2022; revised on 04 April 2022; accepted on 06 April 2022
Abstract:
The Fractional Hamiltonian is used to investigate discrete systems in terms of Caputo’s fractional derivatives. Three models have been introduced and studied in order to apply the formalism presented here. The obtained Hamilton’s equations of motion are exactly in agreement with the classical Hamiltonian formulation equations.
Keywords:
Caputo’s Fractional Derivatives; Lagrangian; Hamiltonian Formalution; Euler-Lagrange Equations; Discrete Systems
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