  The dispersion relation of kinetic Alfv\'en wave in inertial regime is
studied in a three component non-degenerate streaming plasma. A lin- ear
dispersion relation using fluid- Vlasov equation for quantum plasma is also
derived. The quantum correction CQ raised due to the insertion of Bohm
potential in Vlasov model causes the suppression in the Alfven wave frequency
and the growth rates of instability. A number of analytical expressions are
derived for various modes of propagation. It is also found that many system
parameters, i.e, streaming velocity, dust charge, num- ber density and quantum
correction significantly influence the dispersion relation and the growth rate
of instability.
