A novel approach to solving the time-fractional Fitzhugh-Nagumo model

Abstract

The main goal of the study is to look at the fractional model of the Fitzhugh-Nagumo model using a reliable and precise numerical method that combines Adomian decomposition with the Shehu transform. Adomian decomposition is used to reduce nonlinear terms. Both the convergence and analysis of errors in the suggested method are described. Graphical illustrations of numerical results show the efficiency of the suggested technique. The Caputo derivative is used since it facilitates the incorporation of conventional starting and boundary conditions in the problem formulation. Our study has numerous implications in various areas of engineering and science and could be considered an alternative to existing methodologies. The results also show that the approach is valid and has the potential to be an effective way to arrive at approximate solutions to the Fitzhugh-Nagumo model.