This work deals with two fluid system in the framework of generalized Rastall gravity theory. One component represents dark energy whereas the other is dark matter. For the dark energy component, entropy corrected holographic and entropy corrected new agegraphic dark energy models in power-law and logarithmic versions are taken into account. For this study, we assume two classes of scale factors in which one corresponds to the future singularity and another corresponds to the initial singularity. For each of the entropy corrected dark energy models, the cosmological parameters such as Hubble parameter, deceleration parameter and equation of state parameter are calculated and their implications are established. Furthermore, to describe the stability analysis of the models, the behaviors of the squared speed of sound are analyzed graphically for each of these models. From the graphical analysis of [Formula: see text] plane, the thawing or freezing regions of all the models are determined.

中文翻译：

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广义拉斯特引力中熵校正全息和新时代暗能量模型的分析

这项工作在广义 Rastall 重力理论的框架内处理两个流体系统。一种成分代表暗能量，而另一种成分是暗物质。对于暗能量分量，考虑了幂律和对数版本的熵校正全息和熵校正新年龄暗能量模型。对于这项研究，我们假设两类比例因子，其中一类对应于未来的奇点，另一类对应于初始奇点。对于每个熵校正的暗能量模型，计算了哈勃参数、减速参数和状态方程参数等宇宙学参数，并建立了它们的含义。此外，为了描述模型的稳定性分析，对于这些模型中的每一个，都以图形方式分析了声速平方的行为。从[公式：见正文]平面的图形分析，确定所有模型的解冻或冻结区域。