The Symmetric Stable L\'{e}vy Flights and the Feynman Path Integral
  We determine the solution of the fractional spatial diffusion equation in n-dimensional Euclidean space for a "free" particle by computing the corresponding propagator. We employ both the Hamiltonian and Lagrangian approaches which produce exact results for the case of jumps governed by symmetric stable L\'{e}vy flights. 
Agapitos Hatzinikitas