Teleparallel dark energy model with a fermionic field via Noether symmetry

In the present work, we consider a model with a fermionic field that is non-minimally coupled to gravity in the framework of teleparallel gravity. In order to determine the forms of the coupling and potential function of fermionic field for the considered model, we use the Noether symmetry approach. By applying this approach, for the Friedman-Robertson-Walker metric, we obtain the respective potential and coupling functions as a linear and power-law form of the bilinear Psi. Furthermore, we search for the exact cosmological solution of the model. It is shown that the fermionic field plays the role of dark energy.