 Abstract in this study we have proposed the sciacca model with time-dependent infection rate. The model's well-posedness is demonstrated and the proposed model is then extended to the fractional mathematical model by employing the caputo-fabrizio fractional derivative operator. We have also used the Lipschitz condition and the linear growth condition to determine the conditions under which the model has a unique solution. The numerical solutions are presented. Furthermore, using graphical representations, we will see how the number of infected, recovered individuals vary as the order of fractional derivative varies. This article was authored by Saeed Al-Fubatai, Shivani Sharma, Pranay Goswami, and others.