  In this paper, we study early-time inflation and late-time acceleration of
the universe by non-minimally coupling the Dirac field with torsion in the
spatially flat Friedman-Robertson-Walker (FRW) cosmological model background.
The results obtained by the Noether symmetry approach with and without a gauge
term are compared. Additionally, we compare these results with that of the 3+1
dimensional teleparallel gravity under Noether symmetry approach. And we see
that the study explains early-time inflation and late-time acceleration of the
universe.
