Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
977673 | Physica A: Statistical Mechanics and its Applications | 2006 | 12 Pages |
Abstract
We investigate the solutions of a fractional diffusion equation with radial symmetry by using the Green function approach and by taking the NN-dimensional case into account. In our analysis, a spatial time-dependent diffusion coefficient is considered, i.e., D(r,t)=Dtδ-1r-θ/Γ(α)D(r,t)=Dtδ-1r-θ/Γ(α). The presence of external forces F(r)=KrεF(r)=Krε with ε=-1-θε=-1-θ and F(r)=-kr+KrεF(r)=-kr+Krε is also taken into account. In particular, we discuss the results obtained by employing boundary conditions defined on a finite interval, and afterwards the analysis is extended to a semi-infinite interval. Finally, we also discuss a rich class of diffusive processes that can be obtained from the results presented in this work.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
E.K. Lenzi, R.S. Mendes, G. Gonçalves, M.K. Lenzi, L.R. da Silva,