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02- Progress in Fractional Differentiation and Applications
An International Journal


Volumes > Vol. 9 > No. 2


Fractional Quantization of Podolsky Electrodynamics Using Fractional Hamilton-Jacobi Formulation

PP: 211-221
Yazen. M. Alawaideh, Bashar. M. Al-khamiseh, Mohammad kanan, Fekadu Tesgera Agama,
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.

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