In this paper, we provide a SIES epidemic model for the spread of COVID-19 using the Conformable fractional derivative. The feasibility region of the system is investigated. We proved the existence of a unique solution for the model by using fixed point theorem. The stability analysis is in the frame of Ulam-Hyers criteria. Numerical simulations are given to support the theoretical results. The results show that the present procedure is very effective and convenient.
AMS (2010) subject classification: 49J15, 47H07.