We investigate the recently proposed holographic dark energy models with the apparent horizon as the IR cutoff by assuming Kaniadakis and generalized Tsallis entropies in the fractal universe. The implications of these models are discussed for both the interacting () and noninteracting () cases through different cosmological parameters. Accelerated expansion of the universe is justified for both models through deceleration parameter . In this way, the equation of state parameter describes the phantom and quintessence phases of the universe. However, the coincidence parameter shows the dark energy- and dark matter-dominated eras for different values of parameters. It is also mentioned here that the squared speed of sound gives the stability of the model except for the interacting case of the generalized Tsallis holographic dark energy model. It is mentioned here that the current dark energy models at the apparent horizon give consistent results with recent observations.

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分形宇宙中的Kaniadakis和广义Tsallis全息暗能量模型的宇宙后果

我们通过假设分形宇宙中的Kaniadakis和广义Tsallis熵来研究最近提出的全息暗能量模型，其视在地平线为IR截止点。讨论了这些模型对于交互（）和非互动（）通过不同的宇宙学参数得出的案例。通过减速参数证明了两种模型的宇宙的加速扩张是合理的。这样，状态方程参数描述了宇宙的幻相和精粹相。但是，巧合参数显示了针对不同参数值的以暗能量和暗物质为主的时代。这里还提到，平方的声速提供了模型的稳定性，除了广义Tsallis全息暗能量模型的相互作用情况。在这里提到的是，当前的暗能量模型在视界中给出的结果与最近的观测结果一致。