Numerical solution of Caputo type fractional differential equation using Laguerre collocation technique

Abstract

In this study, we use the Laguerre collocation technique to approximate the solution of the higher-order Caputo fractional differential equation with multi-terms and initial conditions. This process converts the provided differential equation into an algebraic one, and the unknown coefficients of the problem's Laguerre series solution are determined. The error boundaries are evaluated for numerical calculations to ensure the method's accuracy. An example is given to demonstrate the established technique and use mathematical computing techniques to assess how an approximation solution behaves.