¹MAMCS Group, FST Errachidia, Moulay Ismail University of Meknes, P.O. Box 509 Boutalamine, 52000, Errachidia, Morocco
²Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia
³Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

Abstract. The aim is to explore a COVID-19  SEIR model  involving Atangana-Baleanu Caputo type (ABC) fractional derivatives. Existence, uniqueness, positivity, and boundedness of the solutions for the  model are established. Some stability results of the proposed system are also presented. Numerical simulations results obtained in this paper, according to the real data, show that the  model is more suitable for the disease evolution.