We study the electromagnetic field in this work because we are particularly interested in the gauge sector of Podolskys generalized electrodynamics, where higher-order derivatives form. To represent Podolskys generalized electrodynamics, canonical quantizations and a lower-order derivatives model are applied. We demonstrate that Podolskys model is equivalent to one with reduced-order derivatives. The differential equations for both models should then be compared. After obtaining the Hamiltonian formulation, we applied this new formula to the Podolsky Generalized equation. This method is used to construct a combined Riemann-Liouville fractional derivative operator as well as a fractional variational theory. The fraction variational notion is utilized to build fractional Euler equations and fraction Hamilton equations. The Hamilton equations of motion are compatible with the Euler-Lagrange equations.
M. Alawaideh, Y.; M. Alkhamiseh, B.; Slewa, M.; and Al-Awaida, W.
"Podolskys Generalized Fractional Order Model,"
Information Sciences Letters: Vol. 11
, PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss6/14