  The aim of this work is to further study the fractional bosonic string
theory. In particular, we wrote the energy-momentum tensor in the fractional
conformal gauge and study their symmetries. We introduced the Virasoro
operators of all orders. In fact, we found the same $L_0 (\widetilde{L}_0)$
operator originally defined in the work of fractional bosonic string up to a
shift transformation. Also, we compute the algebra of our Fractional Virasoro
Operators, finding that the satifies the $Witt$ algebra. Lastly, we showed that
in the boundary of our theory we recover the lost conservation law associated
to $\tau$-diffeomorphism, proving that we have Poincar\'e invariance at the
boundary.
