Variational integrator for fractional Euler-Lagrange equations
  We extend the notion of variational integrator for classical Euler-Lagrange equations to the fractional ones. As in the classical case, we prove that the variational integrator allows to preserve Noether-type results at the discrete level. 
Lo\"ic Bourdin and Jacky Cresson and Isabelle Greff and Pierre Inizan
math.DS