Solution of the time-fractional generalized Burger–Fisher equation using the fractional reduced differential transform method

‘‘The time-fractional generalized Burger–Fisher equation (TF-GBFE)” is used in various applied sciences and physical applications, including simulation of gas dynamics, financial mathematics, fluid mechanics, and ocean engineering. This equation represents a concept for the coordination of reaction systems, as well as advection, and conveys the understanding of dissipation. The Fractional Reduced Differential Transform Method (FRDTM) is used to evaluate “the time-fractional generalized Burger–Fisher equation (TF-GBFE).” To determine the method’s validity, when the solutions are obtained, they are correlated to exact solutions of α = 1 order, and even for various values of α . Three-dimensional graphs are used to depict the solutions. Additionally, the analysis of exact and FRDTM solutions indicates that the proposed approach is very accurate.