Reconstruction of f((R)over-tilde) models via well-known scale factors

We explore the reconstruction scheme of new holographic dark energy and modified f(R) Horava-Lifshitz gravity (f((R) over tilde)) in the presence of three well-known scale factors such as the emergent, logamediate and intermediate ones. We analyze the behavior of reconstructed f((R) over tilde) models corresponding to these scale factors. We also present the analysis of the equation of state parameter which shows consistency with the present cosmological scenario. The squared speed of sound is also developed in this framework for analyzing the instability of the reconstructed f((R) over tilde) models for all scale factors.