Document details

Diffusion equations and different spatial fractional derivatives

Author(s): Duarte, Alexandre F. B. ; Pereira, Jessica de M. Gatti ; Lenzi, Marcelo Kaminski ; Gonçalves, Giane ; Rossato, Roberto ; Lenzi, Ervin Kaminski

Date: 2014

Origin: Oasisbr

Subject(s): diffusion equation; fractional derivative; anomalous diffusion


Description

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. 

Document Type Journal article
Language English
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