Noether symmetry approach in f(T, B) teleparallel cosmology

We consider the cosmology derived from f (T, B) gravity where T is the torsion scalar and B=2e (e T^) a boundary term. In particular we discuss how it is possible to recover, under the same standard, the teleparallel f (T) gravity, the curvature f (R) gravity, and the teleparallel–curvature f (R, T) gravity, which are particular cases of f (T, B). We adopt the Noether Symmetry Approach to study the related dynamical systems and to find cosmological solutions.