  We examine the non-inertial effects of a rotating frame on a Dirac oscillator
in a cosmic string space-time with non-commutative geometry in phase space. We
observe that the approximate bound-state solutions are related to the
biconfluent Heun polynomials. The related energies cannot be obtained in a
closed form for all the bound states. We find the energy of the fundamental
state analytically by taking into account the hard-wall confining condition. We
describe how the ground-state energy scales with the new non-commutative term
as well as with the other physical parameters of the system.
