“…We mention them Riemann-Liouville derivative, Caputo derivative, Riesz derivative, Grünwald-Letnikov derivative, Hadamard derivative, Marchaud derivative, Weyl derivative and recently, other types of fractional derivative have appeared, the most important of which are Caputo-Fabrizio derivative and Atangana-Baleanu derivative, the latter has aroused the interest of many researchers in various fields, due to its efficiency in modeling real problems in several areas, namely epidemiological problems. In recent years researchers have been interested in studying some real problems in various fields using fractional calculus , such as physical problems [1,3,4], engineering mechanics [5], epidemiological models [6,7,8,9,10], image processing [11,12], chaos theory [13,14] and others.…”