General solution of a fractional diffusion–advection equation for solar cosmic-ray transport

In this effort we exactly solve the fractional diffusion–advection equation for solar cosmic-ray transport and give its general solution in terms of hypergeometric distributions. Numerical analysis of this equation shows that its solutions resemble power-laws.

Detalhes bibliográficos
Autores: Rocca, Mario Carlos, Plastino, Ángel Ricardo, Plastino, Ángel Luis, Ferri, Gustavo Luís, De Paoli, Ángel Luis
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2016
País:Argentina
Recursos:Universidad Nacional de La Plata
Repositório:SEDICI (UNLP)
Idioma:inglês
OAI Identifier:oai:sedici.unlp.edu.ar:10915/130639
Acesso em linha:http://sedici.unlp.edu.ar/handle/10915/130639
Access Level:Acceso aberto
Palavra-chave:Ciencias Exactas
Física
Distributions
Cosmic rays
Diffusion
Sun
Heliosphere
Descrição
Resumo:In this effort we exactly solve the fractional diffusion–advection equation for solar cosmic-ray transport and give its general solution in terms of hypergeometric distributions. Numerical analysis of this equation shows that its solutions resemble power-laws.