<b>Exact solutions for fractional diffusion equation: Green function approach</b> - DOI: 10.4025/actascitechnol.v26i2.1504

Authors

  • Giane Gonçalves UEM
  • Luciana de Souza Moraes UEM
  • Onélia Aparecida Andreo dos Santos UEM
  • Ervin Kaminski Lenzi Fí­sica - UEM

DOI:

https://doi.org/10.4025/actascitechnol.v26i2.1504

Keywords:

equação de difusão, função de Green, derivada fracionária

Abstract

We investigate the solutions for a fractional diffusion equation with radial symmetry, using the green function approach and taking the n-dimensional case into account. In our analysis, we consider a spatial time dependent diffusion coefficient and the presence of external forces. In particular, we discuss the results obtained by employing boundary condition defined on a finite interval and after, we extend the analysis to a semi-infinite interval of α → ∞. We also show that a rich class of diffusive processes, including normal and anomalous ones, can be obtained from the solutions found here.

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Author Biography

Ervin Kaminski Lenzi, Fí­sica - UEM

Possui graduação em Fí­sica pela Universidade Estadual de Maringá (1996) , mestrado em Fí­sica pelo Centro Brasileiro de Pesquisas Fí­sicas (1998) , doutorado em Fí­sica pelo Centro Brasileiro de Pesquisas Fí­sicas (2002) , ensino-fundamental-primeiro-grau pelo Colégio Marista de Maringá (1989) e ensino-medio-segundo-grau pelo Colégio Marista de Maringá (1992) . Atualmente é Professor Adjunto da Universidade Estadual de Maringá, Revisor de periódico da Physical Review E - Statistical Physics, Plasmas, Fluids and Related Interd, Revisor de periódico da Physica. A, Revisor de periódico da Physical Review Letters, Revisor de periódico da Physics Letters A, Membro de corpo editorial da Acta Scientiarum (UEM) e Revisor de periódico da Journal of Physics. A, Mathematical and Theoretical. Tem experiência na área de Fí­sica , com ênfase em Fí­sica Geral. Atuando principalmente nos seguintes temas: não extensivo, transporte, difusão anômala. Currí­culo Lattes

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Published

2008-03-28

How to Cite

Gonçalves, G., Moraes, L. de S., Santos, O. A. A. dos, & Lenzi, E. K. (2008). <b>Exact solutions for fractional diffusion equation: Green function approach</b> - DOI: 10.4025/actascitechnol.v26i2.1504. Acta Scientiarum. Technology, 26(2), 109–116. https://doi.org/10.4025/actascitechnol.v26i2.1504

Issue

Vol. 26 No. 2 (2004)

Section

Chemical Engineering

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