<b>Diffusion equations and different spatial fractional derivatives

Authors

  • 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

DOI:

https://doi.org/10.4025/actascitechnol.v36i4.24413

Keywords:

diffusion equation, fractional derivative, anomalous diffusion

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

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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>Diffusion equations and different spatial fractional derivatives. Acta Scientiarum. Technology, 36(4), 657–662. https://doi.org/10.4025/actascitechnol.v36i4.24413

Issue

Vol. 36 No. 4 (2014)

Section

Physics

License

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