makhlouf, DjehaneEncadreur: GAGUI, Bachir2023-07-092023-07-092023-06-10http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/40121The fixed point principle is very important to solving many nonlinear differential equations, in this work we study the existence and uniqueness results for certain classes of differential equations of fractional order of Caputo. These results are obtained by using Mönch's fixed point theorem and combined with kuratouskii's measure of non­compactness .enMeasure of non compactness, Fixed point theorem, fractional differential equations, Caputo fractional derivative.Thesis