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