Solutions of fractional differential equations using G-Spline interpolation functions. +CD

The main objective of this work is to study the numerical solution of fractional ordinary differential equations using G-spline interpolation functions. Two numerical approaches are used, the first approach utilize the explicit linear multistep methods which can be applied easily for linear and nonlinear problems while the second approach is a modified approach by using the implicit linear multistep methods for solving nonlinear fractional ordinary differential equations which has so many difficulties in their solution. This is done by suggesting a new criterion by using the chain rule derivatives of fractional order.