Anomalous diffusion and the first passage time problem

We study the distribution of the first passage time (FPT) in Levy type anom alous diffusion, Using the recently formulated fractional Fokker-Planck equ ation we obtain three results. (1) We derive an explicit expression for the FPT distribution in terms of Fox or H functions when the diffusion has zer o drift. (2) For the nonzero drift case we obtain an analytical expression for the Laplace transform of the FPT distribution. (3) We express the FPT d istribution in terms of a power series for the case of two absorbing barrie rs. The known results for ordinary diffusion (Brownian motion) are obtained as special cases of our more general results.