Abstract

We consider a generic string inspired gravitational theory in the framework of teleparallel gravity whose stringy action based on a particular function which depends on the scalar field, its kinetic energy, the boundary and torsion terms as well as the Gauss-Bonnet terms We examine some cosmographic parameters like the equation of state parameter (ω tot), plane behavior and their stability with the help of squared speed of sound parameter (v2 s ). Under the choice of some specific values of model parameters, the equation of state parameter ω tot indicates the range of cosmological constant and quintessence region of the evolving universe for the past, present and near future times while phantom phase in the far future times. The phase plane expresses the super accelerated phase (the freezing region) whereas gives the stability of each underlying model in the realm of accelerated universe.

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