Numerical Computation of Mixed Volterra–Fredholm Integro-Fractional Differential Equations by Using Newton-Cotes Methods

In this article, the numerical solution of mixed Volterra–Fredholm integro-differential equations multi-fractional order less than or equal to one in Caputo sense (V-FIFDEs) under initial conditions is presented with powerful algorithms. The method based upon quadrature rule aid finite difference approximation derivative usage collocation points. For treatments, our technique converts V-FIFDEs into algebraic operational matrices, some which have symmetry property, simple for evaluating. Furthermore, examples are show technique’s validity and usefulness as well comparisons previous results. majority programs performed using MATLAB v. 9.7.