Diffusion equations and different spatial fractional derivatives

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

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.

 


Palavras-chave


diffusion equation; fractional derivative; anomalous diffusion

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DOI: http://dx.doi.org/10.4025/actascitechnol.v36i4.24413





ISSN 1806-2563 (impresso) e ISSN 1807-8664 (on-line) e-mail: actatech@uem.br

  

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