Abstract
Present analysis dedicated to the dynamical investigation of models of holographic dark energy using FLRW cosmological model in the context of modified gravity in which Lagrangian be the arbitrary function of the trace of the non-metricity tensor Q say f ( Q ) gravity where the nonmetricity Q is responsible for the gravitational interaction. We govern the features of the derived cosmological model in view of the relation between cosmic time and redshift as t = 1 α k l o g 1 + 1 ( 1 + z ) α and discuss the evolution trajectories of the equation of state parameter and stability parameters in the evolving universe. The classification of the field equations toward f ( Q ) = Q + m Q n makes available that the model is purely accelerating corresponds to 0 ≤ q ≤ − 1 .
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