NUMERICAL METHOD FOR THE SOLUTION OF MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS

Abstract

The numerical solution of a multi-order fractional differential equation with initial conditions is

presented in this paper using a collocation approach in the sense of Caputo. After obtaining the

problem's integral form, we converted it into a system of linear algebraic equations. To solve the

algebraic problem and replace the exact solution, matrix inversion is used. A numerical example

is given to illustrate the method's effectiveness and precision.