Remarks on fractional Hamiltonian formulation of discrete systems with examples

Noorhan Alshaikh; Jihad Hasan Asad

doi:10.30574/gjeta.2022.11.1.0065

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Remarks on fractional Hamiltonian formulation of discrete systems with examples

Noorhan Alshaikh and Jihad Hasan Asad ^*

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

DOI url: https://doi.org/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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How to cite this article

Noorhan Alshaikh and Jihad Hasan Asad. Remarks on fractional Hamiltonian formulation of discrete systems with examples. Global Journal of Engineering and Technology Advances, 2022, 11(1), 029-035. Article DOI: https://doi.org/10.30574/gjeta.2022.11.1.0065

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