Revolutionizing Electrochemical kinetics: Homogeneous Redox Catalysis unveiled through an innovative mathematical framework using the Homotopy Perturbation Method

Abstract

Introduction: In Redox homogeneous catalysis the catalyst couple merely plays the role of an electron in contrast with chemical catalysis. The mathematical modelling of homogeneous redox catalysis of electrochemical reactions for the EC scheme is described by the system of second order non-linear differential equations. This model was initially designed using the classical differential equations and it is extended to the Caputo fractional derivative (FDE’s) of order in particularly sequential fractional case. The aim is to obtain approximate analytical solutions of the system of  FDE’s using Homotopy Perturbation method (HPM) and analyze the impact of various parameters with different order of . In addition, the solution of the sequential dynamic equations yields the solution of the corresponding integer-order differential equations as a special case.