2 documents found, page 1 of 1
Anomalous diffusion and fractional diffusion equations
Gonçalves, Giane; Lenzi, Marcelo Kaminski; Moraes, Luciana de Souza; Lenzi, Ervin Kaminski; Andrade, Marcelo Freitas deIn this work we investigate the anomalous diffusion equations, usually applied to describe the anomalous diffusion, which employ fractional derivatives for the time or the spatial variables. In particular, we obtain exact solutions by taking a generic initial condition into account and developing a perturbation theory to investigate complex situations. We also verify that the fractional derivatives, when applie...
Exact solutions for fractional diffusion equation: Green function approach - DO...
Gonçalves, Giane; Moraes, Luciana de Souza; Santos, Onélia Aparecida Andreo dos; Lenzi, Ervin KaminskiWe 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...