Numerical solution of fractional integro-differential equations by collocation method

摘要

This paper deals with the numerical solution of fractional integro-differential equations of the typeDqy(t)=p(t)y(t)+f(t)+∫0tK(t,s)y(s)ds,t∈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.