This research work investigates some theoretical and semi-analytical results for the mathematical model of tuberculosis disease via derivative due to Caputo and Fabrizio. The concerned derivative involves exponential kernel and very recently it has been adapted for various applied problems. The required results are established by using some fixed point approach of Krasnoselskii and Banach. Further, by the use of iterative tools of Adomian decomposition and Laplace, the semi-analytical results are studied. Some graphical results are given with discussion.

中文翻译：

---

使用非奇异仁型Caputo导数的结核病控制模型的数学分析

这项研究工作通过Caputo和Fabrizio的导数研究了结核病数学模型的一些理论和半分析结果。有关的导数涉及指数核，并且最近它已适应各种应用问题。通过使用Krasnoselskii和Banach的一些定点方法可以确定所需的结果。此外，通过使用Adomian分解和Laplace迭代工具，研究了半分析结果。通过讨论给出了一些图形结果。