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

Abstract

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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.

How to cite

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Cipriano, 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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