Applications to the approximation problem of the Riemann–Stieltjes integral in terms of Riemann–Stieltjes sums are also pointed out. Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications 2011, Mathematical and Computer Modelling Show abstract In this paper we ...
integro-fractional differential equation; Caputo derivative; central finite difference approximation; trapezoidal rule; error analysis stability; convergence1. Introduction Fractional calculus (FC) is one of the most important branches of mathematics that deals with arbitrary order integrals and derivatives. ...