On Fractional Variational Problems which Admit Local Transformations
  We extend the second Noether theorem to fractional variational problems which are invariant under infinitesimal transformations that depend upon $r$ arbitrary functions and their fractional derivatives in the sense of Caputo. Our main result is illustrated using the fractional Lagrangian density of the electromagnetic field. 
Agnieszka B. Malinowska
math.OC