On the Analytical Solution of Fractional SIR Epidemic Model

This article presents the solution of fractional SIR epidemic model using Laplace residual power series method. We introduce in sense Caputo’s derivative; it is presented by three differential equations, which third one depends on first coupled equations. The method (LRPSM) implemented this research to solve proposed model, we present a form convergent expansion that converges rapidly exact one. analyze results and compare obtained approximate solutions those from other methods. Figures tables are illustrated show efficiency LRPSM handling model.