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Abstract

In this paper, we generalized the Hamilton formulation for continuous systems with third order derivatives and applied it to Lee-Wick generalized electrodynamics. A combined Riemann-Liouville functional fractional derivative operator was built, and a fractional variational principle was established under this formulation. The fractional Euler-Lagrange equations and fractional Hamilton's equations were created using functional fractional derivatives. We found that the Euler-Lagrange equation and the Hamiltonian equation resulted in the same outcome. We looked at one example in an effort to explain the formalism.