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...
| Autores: | , , , , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2014 |
| País: | Brasil |
| Recursos: | Universidade Estadual de Maringá (UEM) |
| Repositório: | Acta scientiarum. Technology (Online) |
| Idioma: | inglês |
| OAI Identifier: | oai:periodicos.uem.br/ojs:article/24413 |
| Acesso em linha: | http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/24413 |
| Access Level: | Acceso aberto |
| Palavra-chave: | diffusion equation fractional derivative anomalous diffusion |
| Resumo: | 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. |
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