Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
978573 | Physica A: Statistical Mechanics and its Applications | 2009 | 5 Pages |
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., DË(r,t)=D(t)râη 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
E.K. Lenzi, L.R. da Silva, A.T. Silva, L.R. Evangelista, M.K. Lenzi,