We presented a nonlinear time-fractional model of Hepatitis B in order to understand the outbreaks of this epidemic disease. The fractional parameter is used to develop the system of complex nonlinear differential equations by using Caputo sense with fractional order derivative. We investigated the qualitative analysis of the fractional-order model and also the stability of the model was checked through the analysis. Hepatitis B is a highly contagious disease that can spread in a population depending on the number of susceptible people or patients with chronic disease and also depending on their dynamics in the community. The solution of the classical, as well as the time-fractional model, was procured by using LADM. Finally, numerical simulations are also established to investigate the influence of the system parameter on the spread of the disease.
