Diffusion equations and different spatial fractional derivatives

We investigate for the diffusion equation the differences manifested by the solutions when three different types of spatial differential operators of noninteger (or fractional) order are considered for a limited and unlimited region.  In all cases, we verify an anomalous spreading of the system, whi...

Descripción completa

Detalles Bibliográficos
Autores: Duarte, Alexandre F. B., Pereira, Jessica de M. Gatti, Lenzi, Marcelo Kaminski, Gonçalves, Giane, Rossato, Roberto, Lenzi, Ervin Kaminski
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Brasil
Institución:Universidade Estadual de Maringá (UEM)
Repositorio:Acta scientiarum. Technology (Online)
Idioma:inglés
OAI Identifier:oai:periodicos.uem.br/ojs:article/24413
Acceso en línea:http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/24413
Access Level:acceso abierto
Palabra clave:diffusion equation
fractional derivative
anomalous diffusion
Descripción
Sumario:We investigate for the diffusion equation the differences manifested by the solutions when three different types of spatial differential operators of noninteger (or fractional) order are considered for a limited and unlimited region.  In all cases, we verify an anomalous spreading of the system, which can be connected to a rich class of anomalous diffusion processes.