Numerical solution of fractional integro-differential equations by collocation method

Abstract 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 ) + ∫ 0 t K ( t , s ) y ( s ) d s , 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.