The Hamiltonian formulation for higher derivatives is reformulated using fractional derivatives. More precisely, theextended Maxwell–Chern–Simons Lagrangian density is reformulated using the Riemann–Liouville fractional derivative. Theequations of motion resulting from the extended Maxwell–Chern–Simons Lagrangian density are obtained. Furthermore, theHamiltonian of the system is constructed. When fractional derivatives are replaced by integer order derivatives, the classical results are obtained.