The present study deals with a flat FRW cosmological model filled with perfect fluid coupled with the zero-mass scalar field in the higher derivative theory of gravity. We have obtained two types of universe models, the first one is the accelerating universe (power-law cosmology), and the second one is the transit phase model (hyperbolic expansion-law). We have obtained various physical and kinematic parameters and discussed them with observationally constrained values of $H_0$. The transit redshift value is obtained $z_t=0.414,$ where the transit model shows signature-flipping and is consistent with recent observations. In our models, the present values of EoS parameter ${\omega }_0$ crosses the cosmological constant value ${\omega }_0=-1$. Also, the present age of the universe is calculated.

本研究处理的是充满理想流体的平面FRW宇宙学模型，以及高导数引力理论中的零质量标量场。我们获得了两种类型的宇宙模型，第一种是加速的宇宙（幂律宇宙学），第二种是过渡阶段模型（双曲线膨胀律）。我们已经获得了各种物理和运动学参数，并通过观察约束值对它们进行了讨论。$H_0$。获得过境红移值${ž}_{Ť}=0.414，$该运输模型显示签名翻转，并且与最近的观察结果一致。在我们的模型中，EoS参数的当前值${\omega }_0$ 越过宇宙常数 ${\omega }_0=-\mathrm{1个}$。此外，还计算了宇宙的当前年龄。