NUMERICAL TREATMENT OF NEUTRAL FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

Abstract

This paper deals with the numerical solution of fractional integro-differential equations with infinite delay.  We applied the continuous spline collocation methods to approximate the solution.  A new technique for evaluating the Caputo fractional derivative of the spline polynomials based on the Lagrange coefficients is obtained.  Some numerical examples are provided to test the convergence of the method.