A reliable semi-analytic solution for the Caputo fractional human liver model

Abstract

Abstract This article presents a dependable semi-analytic solution for the Caputo fractional human liver model, employing an enhanced classical differential transform method. Our methodology is direct and produces highly accurate results. We confirm the stability of the equilibrium solution and demonstrate the positivity and boundedness of our solution. The paper includes graphs that juxtapose analytical and numerical simulations for both integer and fractional models, comparing our findings with clinical data and the fourth-order Runge-Kutta method.