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Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation

Cipriano, F.Ouerdiane, H.Vilela Mendes, R. — 2009

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 26A33, 76M35, 82B31 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.

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