This paper is devoted to establish some theoretical and computational results for a coupled system of drug therapy process. The considered problem is investigated by using the concept of piecewise modeling. We apply piecewise differentiation and integration to study the proposed model. We derive some adequate results for existence and uniqueness for solution to the proposed problems by using fixed point results. Further, we apply some numerical approach based on Newton interpolation formula for equally spaced arguments to find numerical results corresponding to our proposed model. We use some real values and two sets of fractional order to present the dynamics of the considered model graphically.

本文致力于为药物治疗过程的耦合系统建立一些理论和计算结果。通过使用分段建模的概念来研究所考虑的问题。我们应用分段微分和积分来研究所提出的模型。我们通过使用不动点结果得出了一些充分的存在性和唯一性结果来解决所提出的问题。此外，我们将一些基于牛顿插值公式的数值方法应用于等距参数，以找到与我们提出的模型相对应的数值结果。我们使用一些实数值和两组分数阶来以图形方式呈现所考虑模型的动态。