Numerical solution of fractional integro-differential equations by collocation method

ArticleinApplied Mathematics and Computation 176(1):1-6 · May 2006with63 Reads
Impact Factor: 1.55 · DOI: 10.1016/j.amc.2005.09.059 · Source: DBLP

    Abstract

    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.