Analysis of Fractional Order Cauchy Reaction Diffusion Equations using the Homotopy Perturbation Method (HPM)

The Homotopy Perturbation Method HPM is used in this work to solve equations for time-fractional-order Cauchy reaction-diffusion. A comparison is done between the approximate third-order answers produced with HPM and the exact solutions. The findings show that HPM solves time-fractional-order CRD equations with a significant rate of convergence. To evaluate the method’s correctness, the solutions are plotted and the relative mistakes are tallied.