The COVID-19 pandemic touched about 200 countries of the globe. A strategy is given in this paper by considering a seven-compartment mathematical model with the inclusion of asymptomatic and symptomatic populations with waning immunity under the piecewise derivative concept of singular and nonsingular kernels, respectively. We investigate the dynamics of COVID-19 with the new framework of piecewise fractional derivative in the sense of Caputo and Atangana–Baleanu–Caputo fractional operators. The said analysis includes at least one solution and unique solution analysis with piecewise derivative in two subintervals. The proposed model is carried out by the approximate solution of piecewise numerical iterative technique of Newton polynomial. Each equation is written separately for the algorithm of numerical technique. Graphical representation for the proposed piecewise derivable model has been simulated with the available data at various global orders lying between 0 and 1 for both the subintervals. Such type of analysis will be very good and helpful for all those global problems where sudden or abrupt variation occurs.

COVID-19 大流行波及全球约 200 个国家/地区。本文通过考虑一个七室数学模型给出了一种策略，该模型分别在奇异核和非奇异核的分段导数概念下包含免疫力减弱的无症状和有症状人群。我们使用 Caputo 和 Atangana–Baleanu–Caputo 分数算子意义上的分段分数阶导数新框架研究 COVID-19 的动态。所述分析包括至少一个解和两个子区间分段导数的唯一解分析。所提出的模型是通过牛顿多项式的分段数值迭代技术的近似解来实现的。对于数值技术的算法，每个方程都是单独编写的。所提出的分段可导模型的图形表示已使用位于两个子区间的 0 和 1 之间的各种全局阶数的可用数据进行了模拟。这种类型的分析对于所有那些发生突然或突然变化的全球性问题将非常有用。