In this study, the interaction of counter-propagating ion acoustic shock waves in three-component unmagnetized plasmas with inertial warm ions, superthermal electrons and positrons are examined. By employing the extended Poincare-Lighthill-Kuo (PLK) method, two-sided Korteweg-deVries-Burgers (KdVB) equations and their corresponding phase shifts for the shock wave are also derived. The derived two-sided KdVB equations are converted to two-sided time-fractional KdVB (TFKdVB) equations by semi inverse method, which is then solved numerically by a local meshless method (LMM). The effects of the ratio of electron temperature to positron temperature, the spectral index and fractional concentration of positron component p on the phase shift are also examined. Figures are given to judge the performance of the LMM. Comparison is made with the exact solution for the classical case (i.e. ρ = 1) and with Petrov-Galerkin method (PGM) in case of fractional derivative. The influence of the fractional parameter on the behaviour of ion acoustic shock wave in e-p-i plasma is investigated.

在这项研究中，研究了三组分未磁化等离子体中反向传播的离子声冲击波与惯性暖离子、超热电子和正电子的相互作用。通过使用扩展的 Poincare-Lighthill-Kuo (PLK) 方法，还导出了两侧 Korteweg-deVries-Burgers (KdVB) 方程及其对应的冲击波相移。导出的两侧 KdVB 方程通过半逆方法转换为两侧时间分数 KdVB (TFKdVB) 方程，然后通过局部无网格方法 (LMM) 进行数值求解。电子温度与正电子温度之比、光谱指数和正电子组分浓度p的影响对相移也进行了检查。给出了数字来判断 LMM 的性能。与经典情况（即ρ = 1）的精确解和分数阶导数情况下的 Petrov-Galerkin 方法 (PGM) 进行了比较。研究了分数参数对外延等离子体中离子声冲击波行为的影响。