Stochastic solution of a nonlinear fractional differential equation
  A stochastic solution is constructed for a fractional generalization of the KPP (Kolmogorov, Petrovskii, Piskunov) equation. The solution uses a fractional generalization of the branching exponential process and propagation processes which are spectral integrals of Levy processes 
F. Cipriano, H. Ouerdiane, R. Vilela Mendes