Astract :

The Stueckelburg Lagrangian density is reformulated in fractional form in four- dimensional space using Riemann- Liouville fractional derivatives. The fractional Euler-Lagrange equations and the fractional Hamilton's equations are constructed from the fractional Stueckelburg Lagrangian density. The formulation presented and the resulting equations are very similar to those that appear in the field of classical calculus of variations.