Abstract: “In this paper, a computational method based on triangular functions for solving a class of nonlinear Volterra integro-differential equations of fractional order is presented. Generalized operational matrix of triangular functions is constructed and used to transform the equation to a system of algebraic equations. Some numerical examples are provided to illustrate the accuracy and efficiency of the method.”

Keywords: Generalized operational matrix, Fractional integro-differential equation, Triangular functions.