Rida, SZAbd El Radi, ASArafa, AAMKhalil, M2020-02-192020-02-1920122090-5858https://cutt.ly/1rMyt2YMSA Google ScholarChildhood vaccination programs have had a dramatic impact onreducing child mortality worldwide. We introduce fractional-order into A SIRmodel that monitors the temporal dynamics of a childhood disease in the pres-ence of preventive vaccine is presented in this paper. Generalized Euler method(GEM) is considered in this paper to obtain an analytic approximate solutionof this model. The obtained results proved that the disease will persist withinthe population if the vaccination coverage level is below a certain threshold.enUniversity for Childhood diseasesFractional order differential equationsGeneralizedEuler methodArticle