The Hamiltonian formulation for higher derivatives is reformulated using fractional derivatives. More precisely, the extended Maxwell–Chern–Simons Lagrangian density is reformulated using the Riemann–Liouville fractional derivative. The equations of motion resulting from the extended Maxwell–Chern–Simons Lagrangian density are obtained. Furthermore, the Hamiltonian of the system is constructed. When fractional derivatives are replaced by integer order derivatives, the classical results are obtained.
D. Al-Oqali, Amer
"Extended Maxwell–Chern–Simons Lagrangian Density in Riemann–Liouville Fractional Derivatives,"
Information Sciences Letters: Vol. 12
, PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol12/iss2/9