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 $f\left(Q\right)$ 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 $t=\frac{1}{\alpha k}log\left(1+\frac{1}{{(1+z)}^{\alpha }}\right)$ 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 $f\left(Q\right)=Q+m{Q}^n$ makes available that the model is purely accelerating corresponds to $0\le q\le -1$.

目前的分析致力于在修正引力的背景下使用 FLRW 宇宙学模型对全息暗能量模型进行动力学研究，其中拉格朗日是非度量张量迹的任意函数 $问$ 说 $F\left(问\right)$ 重力，其中的非度量性 $问$负责引力相互作用。鉴于宇宙时间和红移之间的关系，我们将导出的宇宙学模型的特征控制为$吨=\frac{1}{\alpha 克}升○G\left(1+\frac{1}{{(1+z)}^{\alpha }}\right)$并讨论演化宇宙中状态参数方程和稳定性参数方程的演化轨迹。场方程的分类$F\left(问\right)=问+米{问}^n$ 使模型纯粹加速对应于 $0\le q\le -1$.