English

Stochastic solution of a nonlinear fractional differential equation

Probability 2010-08-31 v1 Analysis of PDEs

Abstract

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

Keywords

Cite

@article{arxiv.0803.4457,
  title  = {Stochastic solution of a nonlinear fractional differential equation},
  author = {F. Cipriano and H. Ouerdiane and R. Vilela Mendes},
  journal= {arXiv preprint arXiv:0803.4457},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T10:26:06.936Z