Numerical solution for multi-term fractional orders differential equations by spline functions

Abstract EN

In this work a new method for the numerical solution of initial value problem for multi-term fractional orders differential equations with constant coefficients is presented .Fractional derivatives defined in the Riemann-Liouvill sense are considered.

This method essentially uses fee definitions and properties of different order of splines polynomials.

Moreovere a new formula for the Fractional derivatives of these splines functions are given.

Numerical examples are presented.

Special attention is given to the comparison of the numerical results obtained by the new method with those found by other methods.