  The group delay time of Dirac fermions subjected to a tilting barrier
potential along the $ x $-axis is investigated in graphene. We start by finding
the eigenspinor solution of the Dirac equation and then relating it to
incident, reflected, and transmitted beam waves. This relationship allows us to
compute the group delay time in transmission and reflection by obtaining the
corresponding phase shifts. We discovered that the barrier width, incident
energy, and incident angle can all be used to modify the group delay time, and
that the particles travel through the barrier at the Fermi velocity $ v_F $.
Our findings also show that the transmission group delay might be controlled,
and that gate voltage control could be useful in graphene-based tilting
barriers.
