<b>Diffusion equations and different spatial fractional derivatives

oleh: Alexandre F. B. Duarte, Jessica de M. Gatti Pereira, Marcelo Kaminski Lenzi, Giane Gonçalves, Roberto Rossato, Ervin Kaminski Lenzi

Format: Article
Diterbitkan: Universidade Estadual de Maringá 2014-09-01

Deskripsi

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.