  In the framework of teleparallel gravity, the Friedman-Robertson-Walker
cosmological model with scalar tensor theory where scalar field is
non-minimally coupled to both the torsion scalar and boundary term is studied.
Utilizing the Noether symmetry approach in such a theory, we obtain the
explicit forms of the couplings and potential as a function the scalar field.
We present some important cosmological solutions for the modified field
equations using these functions getting via the Noether symmetry approach.
Finally, the interesting cosmological properties of these solutions are
discussed in detail, and it is shown that they can describe a universe lead to
the late time accelerating expansion.
