Noether Symmetry Approach for teleparallel-curvature cosmology
  We consider curvature-teleparallel $F(R,T)$ gravity, where the gravitational Lagrangian density is given by an arbitrary function of the Ricci scalar $R$ and the torsion scalar $T$. Using the Noether Symmetry Approach, we show that the functional form of the $F(R, T)$ function, can be determined by the presence of symmetries . Furthermore, we obtain exact solutions through to the presence of conserved quantities and the reduction of cosmological dynamical system. Example of particular cosmological models are considered. 
Salvatore Capozziello, Mariafelicia De Laurentis, Ratbay Myrzakulov
gr-qc hep-th