Phys. Rev. E 72, 011107 (2005) [4 pages]Time-fractional diffusion equation with time dependent diffusion coefficientReceived 18 April 2005; published 18 July 2005 We consider the time-fractional diffusion equation with time dependent diffusion coefficient given by 0O(C)tαW(x,t)=Dα,γtγ[∂2W(x,t)∕∂x2], where 0O(C)tα 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 α=0, the mean squared displacement is given by ⟨x2⟩∼tγ and we verify that the mean first passage time is finite for superdiffusive regimes. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.011107
DOI:
10.1103/PhysRevE.72.011107
PACS:
05.40.−a, 05.60.−k, 66.10.Cb
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