Strange quark matter cosmological models attached to string cloud in f(R) theory of gravity

In this paper, we have examined the Kantowski-Sachs space-time in the presence of strange quark matter with the appearance and non-appearance of strings in f(R) gravity. Here, R is the Ricci scalar of the space-time. Exact solutions of the field equations are obtained by considering the following conditions (i) hybrid scale factor, (ii) the proportionality of shear scalar (𝜎) with expansion scalar (𝜃) and (iii) power-law between the scalar-on function F(R) and average scale factor a(t). We have investigated some physical and geometrical properties of the models, and their behavior is thoroughly studied with the help of graphical representation. (author)