Thermal stability of d-dimensional Lifshitz like topological black holes in special class of F(R) gravity

In recent years, modified gravity models have played an important role in the cosmological structures. One of these models is F(R) gravity theory which opened a new insight in the context of black hole thermodynamics. Some of interesting consequences of the black hole thermodynamics resulted into investigation of thermal properties of different black holes. In this paper, first we investigate topological Lifshitz-like black hole solutions of F(R) gravity in d-dimensions and then study thermodynamic properties of such special class of F(R) gravity. Finally, we examine thermal stability and possible phase transition with respect to the heat capacity and Gibbs free energy.