Influenza A-virus infection represents a global threat causing seasonal outbreaks and pandemics. Among the global threats creating seasonal outbreak, Influenza "A-virus" infection is a dominating theme nowadays. Using the theory of fractional calculus, this study considers an influenza model for quantitative study via the Laplace Adomian Decomposition Method (LADM). We proceed to explore the role of LADM on the proposed model. The method is described and explained for the proposed model while providing some plots to present the behavior of the disease.