Some results for a fractional diffusion equation with radial symmetry in a confined region

E.K. Lenzi, L.R. da Silva, A.T. Silva, L.R. Evangelista and M.K. Lenzi

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 6, 806-810

Abstract: We investigate an N-dimensional fractional diffusion equation with radial symmetry by taking a spatial and time dependent diffusion coefficient into account, i.e., D˜(r,t)=D(t)r−η with D(t)=Dδ(t)+D¯(t). The equation is considered in a confined region and subjected to time dependent boundary conditions which may be related to inhomogeneous characteristics of the surfaces confining the system. The results show an anomalous spreading of the solutions and an unusual behavior of the survival probability.

Keywords: Fractional diffusion equation; Anomalous diffusion; Green function (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:6:p:806-810

DOI: 10.1016/j.physa.2008.11.030

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