"Fractional Quantization of Podolsky Electrodynamics Using Fractional H" by Yazen M. Alawaideh, Bashar M. Al-khamiseh et al.

Progress in Fractional Differentiation & Applications

Article Title

Fractional Quantization of Podolsky Electrodynamics Using Fractional Hamilton-Jacobi Formulation

Authors

Yazen M. Alawaideh, Research Unit, Middle East University, Amman, JordanFollow
Bashar M. Al-khamiseh, Department of Physics, The University of Jordan, Amman, JordanFollow
Mohammad Kanan, Industrial Engineering Department, Jeddah College of Engineering, University of Business and Technology, Jeddah, Saudi ArabiaFollow
Fekadu Tesgera Agama, Department of Mathematics, College of Natural and Computational Sciences, Wollege University, Wollege, EthiopiaFollow

Author Country (or Countries)

Jordan

Abstract

For fractional derivative order constrained systems, the Hamilton-Jacobi formulation in terms Riemann-Liouville fractional derivative was developed. The equations of motion are written as total differential fractional equations fractional in many variables using this formalism. We use the Hamilton-Jacobi formulation in terms of Riemann-Liouville fractional derivative to study Podolsky electrodynamics, comparing our results to those obtained using the Euler-Lagrange Riemann- Liouville fractional derivative method. A fractional difference will be presented as a minor adjustment to a Hamilton-Jacobi derivation formula that is more compatible with the traditional similarity. After generalizing Podolsky electrodynamics for constrained systems with fractional second-order Lagrangians, a new formulation is used to help the reader understand the conclusions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090202

Recommended Citation

M. Alawaideh, Yazen; M. Al-khamiseh, Bashar; Kanan, Mohammad; and Tesgera Agama, Fekadu (2023) "Fractional Quantization of Podolsky Electrodynamics Using Fractional Hamilton-Jacobi Formulation," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 2, Article 2.
DOI: http://dx.doi.org/10.18576/pfda/090202
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss2/2

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