G-SPLINE INTERPOLATION FOR APPROXIMATING THE SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS USING LINEAR MULTI-STEP METHODS

Abstract

In this paper, we consider fractional differential equations of the form: y(q)(x)  F(x, y), x  [a, b] ............. (1) y(a)   where n < q < n + 1 and n is a positive integer number. The aim of this paper is to approximate the solution of fractional differential equations using linear multi-step methods with the cooperation of G-spline interpolation.