On the analysis of semi-analytical solutions of Hepatitis B epidemic model under the Caputo-Fabrizio operator

Abstract The current paper deals with the investigation of a fractional order model describing the dynamics of hepatitis B infectious disease. The derivatives are taken in the sense of Caputo-Fabrizio operator. Using the Banach fixed point theory approach, we study the existence and uniqueness of the concerned solution. The semi-analytical solution of the system is investigated with the aid of Laplace Adomian decomposition method (LADM). To support our analytical findings, we perform numerical simulations and illustrate the effectiveness of the new derivative operator. Our analysis shows better results as compared to the classical integer order analysis of the hepatitis B model.