<b>Diffusion equations and different spatial fractional derivatives

  • Alexandre F. B. Duarte Universidade Estadual de Maringá
  • Jessica de M. Gatti Pereira Universidade Estadual de Maringá
  • Marcelo Kaminski Lenzi Universidade Federal do Paraná
  • Giane Gonçalves Universidade Tecnológica Federal do Paraná
  • Roberto Rossato Universidade Tecnológica Federal do Paraná
  • Ervin Kaminski Lenzi Universidade Estadual de Maringá

Abstract

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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Author Biography

Ervin Kaminski Lenzi, Universidade Estadual de Maringá
Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo, 5790, 87020-900, Maringá – PR, Brazil
Published
2014-09-12
How to Cite
Duarte, A. F. B., Pereira, J. de M. G., Lenzi, M. K., Gonçalves, G., Rossato, R., & Lenzi, E. K. (2014). <b&gt;Diffusion equations and different spatial fractional derivatives. Acta Scientiarum. Technology, 36(4), 657-662. https://doi.org/10.4025/actascitechnol.v36i4.24413
Section
Physics

 

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0.8
2019CiteScore
 
 
36th percentile
Powered by  Scopus