ABSTRACT
In this paper, the coupled fractional differential equations that arise in various epidemiological models are examined by a hybrid and innovative homotopy perturbation method via the Laplace transform (HPTM) .Important applications of these equations are to model the transmission dynamics of epidemic models and to model the phenomena of electrical activity in heart. The conditions for convergence of the presented scheme are presented. This scheme contributes to the solution in a fast convergent series. The results are compared with other schemes. The results are demonstrated graphically and in a tabular form to show its competency and accuracy. The outcomes reveal that HPTM is accurate, highly effective, user-friendly, and attractive.
