Numerical solution of fractional integro-differential equations by collocation method

This paper deals with the numerical solution of fractional integro-differential equations of the type D(q)y(t) = p(t)y(t) + f(t) + integral(t)(0) K(t, s)y(s) ds, t is an element of I = [0, 1] by polynomial spline functions. We derive a system of equations that characterizing the numerical solution. Some numerical examples are also provided to illustrated our results. (c) 2005 Elsevier Inc. All rights reserved.