walsh functions and their applications to solving nonlinear fractional volterra integro-differential equation

In this article‎, ‎we extended an efficient computational‎ ‎method based on walsh operational matrix to find an approximate‎ ‎solution of nonlinear fractional order volterra integro-differential‎ ‎equation‎, ‎first‎, ‎we present the fractional walsh operational‎ ‎matrix of integration and differentiation‎. ‎then by applying this‎ ‎method‎, ‎the nonlinear fractional volterra integro-differential‎ ‎equation is reduced into a system of algebraic equation‎. ‎the‎ ‎benefits of this method are the low-cost of setting up the equations‎ ‎without applying any projection method such as collocation‎, ‎galerkin‎, ‎etc‎. ‎the results show that the method is very accuracy and ‎efficiency.‎