Investigation of infertility treatments on infertile couples through fractional-order modeling approach

In this paper, our aim is to construct a nonlinear mathematical model to study the impact of treatment on the infertility problem. We utilize a well-known Caputo derivative with fractional-order to decrease the issue of infertility treatments. Banach fixed-point theory is used to determine the existence and uniqueness of the suggested model. Equilibrium points have been calculated by generating reproduction numbers as a part of local stability analysis, and Ulam-Hyers-Rassias stability is discussed as a generalized form of system to prove global stability. We use a fractional-order Euler's method to determine the numerical and graphical results. The result manifests the improvement of achieving a healthy pregnancy through hormonal and IVF treatment in women.