Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 47p-56p
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.