# Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation

Cipriano, F.; Ouerdiane, H.; Vilela Mendes, R.

Fractional Calculus and Applied Analysis (2009)

- Volume: 12, Issue: 1, page 47-56
- ISSN: 1311-0454

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topCipriano, F., Ouerdiane, H., and Vilela Mendes, R.. "Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation." Fractional Calculus and Applied Analysis 12.1 (2009): 47-56. <http://eudml.org/doc/11315>.

@article{Cipriano2009,

abstract = {Mathematics Subject Classification: 26A33, 76M35, 82B31A 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.},

author = {Cipriano, F., Ouerdiane, H., Vilela Mendes, R.},

journal = {Fractional Calculus and Applied Analysis},

keywords = {26A33; 76M35; 82B31},

language = {eng},

number = {1},

pages = {47-56},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation},

url = {http://eudml.org/doc/11315},

volume = {12},

year = {2009},

}

TY - JOUR

AU - Cipriano, F.

AU - Ouerdiane, H.

AU - Vilela Mendes, R.

TI - Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation

JO - Fractional Calculus and Applied Analysis

PY - 2009

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 12

IS - 1

SP - 47

EP - 56

AB - Mathematics Subject Classification: 26A33, 76M35, 82B31A 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.

LA - eng

KW - 26A33; 76M35; 82B31

UR - http://eudml.org/doc/11315

ER -

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