Dynamics of thin-shell wormholes within the context of $f\left(R\right)$gravity by joining two identical copies of Reissner–Nordstrom–de Sitter manifold using the cut and paste approach is discussed. The stability of wormholes is analyzed through the radial perturbation about the static solution and the modified generalized Chaplygin gas equation of state (EoS). This formalism gives rise two specific different configurations of $f\left(R\right)$ gravity, in which quadratic type model and cubic type model. The presence of both stable and unstable regions depending on the appropriate values of different parameters are examined their EoS, with taken into account several$f\left(R\right)$gravity models as well as the metric space are illustrated.

Also, the stability regions under the radial perturbation depend on the EoS parameter ${\beta }^2$ usually is explained as the subluminal square speed of sound exist. Such a region of stability in the existence of a large value of the charge is significantly is increased and extended by decreasing the value of the cosmological constant The effect of increasing dark sources $\delta$ and $\alpha$ parameters leads to an increase in the stable regions is displayed. Stability regions increase for increasing EoS parameters $\gamma ,\varsigma ,\eta$ and also the influence of the curvature parameter $R$ may increase the stability regions.

薄壳虫洞在环境中的动力学 $F（\mathrm{[R}）$讨论了使用剪切和粘贴方法将Reissner–Nordstrom–de Sitter流形的两个相同副本连接起来的重力。通过关于静态解的径向扰动和改进的广义Chaplygin气体状态方程（EoS）分析蠕虫孔的稳定性。这种形式主义产生了两个特定的不同配置$F（\mathrm{[R}）$重力，其中有二次型模型和三次型模型。根据不同参数的适当值来检查稳定区和不稳定区的存在，并考虑到$F（\mathrm{[R}）$说明了重力模型以及度量空间。

而且，径向扰动下的稳定区域取决于EoS参数 ${\beta }^2$通常被解释为存在腔内方速度。通过减小宇宙常数的值，可以显着增加和扩展存在大量电荷的情况下的这种稳定区域。增加暗源的效果$\delta$ 和 $\alpha$参数导致显示的稳定区域增加。增加EoS参数可增加稳定性区域$\gamma ，\varsigma ，\eta$ 以及曲率参数的影响 $\mathrm{[R}$ 可能会增加稳定区域。