In this paper, employing the exponential corrected entropy (Chatterjee and Ghosh in Phys Rev Lett 125:041302, 2020), we derive the modified Friedmann equations from the first law of thermodynamics at apparent horizon and Verlinde’s entropic gravity scenario. First, we derive the modified Friedmann equations from the first law of thermodynamics. We investigate the validity of generalised second law (GSL) of thermodynamics and find that it is always satisfied for the all eras of universe. Moreover, we investigate the deceleration parameter for the case \(k=0\) in two frameworks. Finally, we numerically study the bouncing behaviour for the modified Friedmann equations obtained from entropic gravity. The results indicate that the bouncing behaviour is possible for the cases \(k=1\) and \(k=-1\).

在本文中，我们利用指数校正熵（Chatterjee 和 Ghosh in Phys Rev Lett 125:041302, 2020），从表观地平线热力学第一定律和 Verlinde 熵重力场景中推导出修正的弗里德曼方程。首先，我们从热力学第一定律推导出修正的弗里德曼方程。我们研究了广义热力学第二定律（GSL）的有效性，发现它对于宇宙的所有时代总是满足的。此外，我们研究了两个框架中\(k=0\)情况的减速参数。最后，我们数值研究了从熵引力获得的修正弗里德曼方程的弹跳行为。结果表明，对于 \(k=1\) 和 \(k=-1\) 情况，弹跳行为是可能的。