  We calculate the time taken by a wave packet to travel through a classically
forbidden locally periodic rectangular potential in space fractional quantum
mechanics (SFQM). We obtain the close form expression of tunneling time from
such a potential by stationary phase method. We show that tunneling time
depends upon the width $b$ of the single barrier and separation $L$ between the
barriers in the limit $b \to \infty$ and therefore generalized Hartman effect
doesn't exist in SFQM. We observe that in SFQM, the tunneling time for large
$b$ in the case of locally periodic potential is smaller than the tunneling
from a single barrier of the same width $b$. It is further shown that with the
increase in barrier numbers, the tunneling time reduces in SFQM in the limit of
large $b$.
