In this paper, we use newly introduced piecewise classical-global and classical-fractional operators to study the dynamics of the Leptospirosis disease model. The existence and uniqueness of the solution to piecewise derivatives are examined for the suggested problem. The piecewise iterative Newton polynomial method is used to obtain an approximate solution to the suggested problem. In addition, a numerical scheme for the piecewise Leptospirosis model with integer and fractional orders is established. The numerical simulation of the piecewise derivable problem under consideration is presented in classical as well as various fractional orders.

中文翻译：

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分段经典-全局和经典-分数运算符背景下钩端螺旋体病的动力学

在本文中，我们使用新引入的分段经典全局和经典分数算子来研究钩端螺旋体病模型的动力学。针对建议的问题检查分段导数解的存在性和唯一性。分段迭代牛顿多项式方法用于获得建议问题的近似解。此外，建立了具有整数和分数阶的分段钩端螺旋体模型的数值方案。所考虑的分段可导问题的数值模拟以经典阶和各种分数阶呈现。