  In this paper, we demonstrate that a unified description of early and
late-time acceleration is possible in the context of mimetic $F(R)$ gravity. We
study the inflationary era in detail and demonstrate that it can be realized
even in mimetic $F(R)$ gravity where traditional $F(R)$ gravity fails to
describe the inflation. By using standard methods we calculated the spectral
index of primordial curvature perturbations and the scalar-to-tensor ratio. We
use two $F(R)$ gravity models and as it turns out, for both the models under
study the observational indices are compatible with both the latest Planck and
the BICEP2/Keck array data. Finally, the graceful exit from inflation is
guaranteed by the existence of growing curvature perturbations when the
slow-roll era ends.
