Exact solutions for fractional diffusion equation: Green function approach - DOI: 10.4025/actascitechnol.v26i2.1504
DOI:
https://doi.org/10.4025/actascitechnol.v26i2.1504Keywords:
equação de difusão, função de Green, derivada fracionáriaAbstract
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.Downloads
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Published
2008-03-28
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Chemical Engineering
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How to Cite
Gonçalves, G., Moraes, L. de S., Santos, O. A. A. dos, & Lenzi, E. K. (2008). Exact solutions for fractional diffusion equation: Green function approach - DOI: 10.4025/actascitechnol.v26i2.1504. Acta Scientiarum. Technology, 26(2), 109-116. https://doi.org/10.4025/actascitechnol.v26i2.1504
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