FRW in quadratic form of f(T) gravitational theories

We derive asymptote solution of a homogeneous and isotropic universe governed by the quadratic form of the field equation of f (T) gravity. We explain how the higher order of the torsion can provide an origin for late accelerated phase of the universe in the FRW. The solution makes the scalar torsion T to be a function of the cosmic time t. We show that for the equation of state p = omega rho with omega not equal -1 the scale factor represent late phase of universe. We perform the cosmological studies and show how the quadratic form of f (T) effect on the behavior of these studies.