In this manuscript, we solve a model of the novel coronavirus (Covid-19) epidemic by using Corrector-predictor scheme. For the considered system exemplifying the model of Covid-19, the solution is established within the frame of the new generalized Caputo type fractional derivative. The existence and uniqueness analysis of the given initial value problem are established by the help of some important fixed point theorems like Schauder’s second and Weissinger’s theorems. Arzela-Ascoli theorem and property of equicontinuity are also used to prove the existence of unique solution. A new analysis with the considered epidemic Covid-19 model is effectuated. Obtained results are described using figures which show the behaviour of the classes of projected model. The results show that the used scheme is highly emphatic and easy to implementation for the system of non-linear equations. The present study can confirm the applicability of the new generalized Caputo type fractional operator to mathematical epidemiology or real-world problems. The stability analysis of the projected scheme is given by the help of some important lemma or results.

在这篇手稿中，我们通过使用校正预测方案解决了新型冠状病毒 (Covid-19) 流行病的模型。对于举例说明 Covid-19 模型的考虑系统，解决方案是在新的广义 Caputo 型分数导数的框架内建立的。借助一些重要的不动点定理，如Schauder第二定理和Weissinger定理，建立了给定初值问题的存在性和唯一性分析。Arzela-Ascoli 定理和等连续性也被用来证明唯一解的存在性。使用考虑的流行病 Covid-19 模型进行了新的分析。使用显示投影模型类的行为的图形来描述获得的结果。结果表明，所使用的方案对于非线性方程组具有很强的强调性和易于实现性。本研究可以证实新的广义 Caputo 型分数算子对数学流行病学或现实世界问题的适用性。投影方案的稳定性分析是借助一些重要的引理或结果给出的。