The main purpose of the proposed work is to study a TB infection model under incomplete treatment numerically and identify potential infection dynamics. We use the arbitrary-order Caputo-Fabrizio (CF) and Atangana-Baleanu (AB) derivatives to extend the classical TB infection model into a non-classical model. In addition, through fixed-point results, the existence and uniqueness of solutions for the arbitrary order TB model are discussed. We illustrate computational techniques from existing literature for the numerical solutions of the mentioned fractional models. The numerical simulations are presented using MATLAB software with various choices of the fractional-order parameter.

拟议工作的主要目的是在数值上研究不完全治疗下的结核病感染模型，并确定潜在的感染动态。我们使用任意阶 Caputo-Fabrizio (CF) 和 Atangana-Baleanu (AB) 衍生物将经典 TB 感染模型扩展为非经典模型。此外，通过定点结果，讨论了任意阶TB模型解的存在唯一性。我们说明了现有文献中提到的分数模型的数值解的计算技术。数值模拟是使用 MATLAB 软件呈现的，具有各种分数阶参数选择。