Reconstruction of Sharma Mittal holographic f(Q) dark energy model

In this paper, we investigate the Sharma-Mittal Holographic Dark Energy (SMHDE) model within the framework of the recently proposed f(Q) gravity theory. Using the reconstruction technique, we derive the corresponding f(Q) functions for the SMHDE model under three different cosmological scale factors: power-law, intermediate, and unified scenarios. Furthermore, we conduct a comprehensive graphical analysis of these reconstructed models based on key cosmological parameters, including the equation-of-state (EoS) parameter, deceleration parameter, the ω−ω′ phase plane and statefinder parameters. The results indicate that all reconstructed models are dynamically stable and consistent with the current accelerated expansion of the Universe. Hence, the SMHDE model in f(Q) gravity provides a viable and consistent framework for describing the present dark energy phenomenon.