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In this paper, we investigate fractional order two strain epidemic model in the sense of ABC operator. This study includes existence and uniqueness of solution, stability and numerical simulations of the model under consideration. Fixed point postulates are used for the existence and uniqueness of solution. A theoretical approach is employed to investigate sufficient results for Hyers–Ulam’s stability to the model under study. For the numerical demonstration Lagrange’s interpolation polynomial technique is utilized. Graphical presentations against different fractional orders are displayed.