Hamiltonian Formulation of Classical Fields with Fractional Derivatives
  An investigation of classical fields with fractional derivatives is presented using the fractional Hamiltonian formulation. The fractional Hamilton's equations are obtained for two classical field examples. The formulation presented and the resulting equations are very similar to those appearing in classical field theory. 
A. A. Diab, R. S. Hijjawi, J. H. Asad, and J. M. Khalifeh
physics.gen-ph