Diffusion equations and different spatial fractional derivatives

Acta Scientiarum: Technology

Jessica de M. Gatti Pereira¹  Alexandre F. B. Duarte¹  Ervin Kaminski Lenzi¹  Marcelo Kaminski Lenzi²  Giane Gonçalves³  Roberto Rossato³ 

[1] Universidade Estadual de Maringá;Universidade Federal do Paraná;Universidade Tecnológica Federal do Paraná;

关键词: diffusion equation;    fractional derivative;    anomalous diffusion;   

DOI  :  10.4025/actascitechnol.v36i4.24413

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown