Progress in Fractional Differentiation & Applications
Article Title
Fractional Quantization of Podolsky Electrodynamics Using Fractional Hamilton-Jacobi Formulation
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