Abstract
We consider the time-fractional diffusion equation with time dependent diffusion coefficient given by , where is the Caputo operator. We investigate its solutions in the infinite and the finite domains. The mean squared displacement and the mean first passage time are also considered. In particular, for , the mean squared displacement is given by and we verify that the mean first passage time is finite for superdiffusive regimes.
- Received 18 April 2005
DOI:https://doi.org/10.1103/PhysRevE.72.011107
©2005 American Physical Society