Solutions for a fractional diffusion equation with noninteger dimensions

Solutions for a fractional diffusion equation with noninteger dimensions

We investigate a fractional diffusion equation with a nonlocal reaction term by using the Green function approach. We also consider a modified spatial operator in order to cover situations characterized by a noninteger dimension. The results show a nonusual spreading of the initial condition which c...

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Veröffentlicht in:Nonlinear analysis: real world applications 2012-08, Vol.13 (4), p.1955-1960
Hauptverfasser: Lucena, L.S., da Silva, L.R., Tateishi, A.A., Lenzi, M.K., Ribeiro, H.V., Lenzi, E.K.
Format: Artikel
Sprache:eng
Schlagworte:
Anomalous diffusion
Diffusion
Fractional diffusion equation
Green's functions
Initial conditions
Mathematical analysis
Noninteger dimension
Nonlinearity
Operators
Spreading
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Zusammenfassung:We investigate a fractional diffusion equation with a nonlocal reaction term by using the Green function approach. We also consider a modified spatial operator in order to cover situations characterized by a noninteger dimension. The results show a nonusual spreading of the initial condition which can be connected to a rich class of anomalous diffusive processes.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2011.12.025