Cosmological aspects of a hyperbolic solution in f(R,T) gravity

This article deals with a cosmological scenario in f(R,T) gravity for a flat FLRW model of the universe. We consider the f(R,T) function as f(R)+f(T) which starts with a quadratic correction of the geometric term f(R) having structure f(R)=R+αR 2 , and a linear matter term f(T)=2λT. To achieve the solution of the gravitational field equations in the f(R,T) formalism, we take the form of a geometrical parameter, i.e. scale factor a(t)=sinh [Formula presented] (βt) (Chawla et al., 2013), where β and n are model parameters. An eternal acceleration can be predicted by the model for 0