  We calculate the time taken by a wave packet to travel through a classically
forbidden region of space in space fractional quantum mechanics. We obtain the
close form expression of tunneling time from a rectangular barrier by
stationary phase method. We show that tunneling time depends upon the width $b$
of the barrier for $b \to \infty$ and therefore Hartman effect doesn't exist in
space fractional quantum mechanics. Interestingly we found that the tunneling
time monotonically reduces with increasing $b$. The tunneling time is smaller
in space fractional quantum mechanics as compared to the case of standard
quantum mechanics. We recover the Hartman effect of standard quantum mechanics
as a special case of space fractional quantum mechanics.
