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

Abstract 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.