Euler Polynomials Approach to the System of Nonlinear Fractional Differential Equations

Abstract

This paper is concerned with the application of Euler polynomials in solving a system of nonlinear fractional differential equations (SNFDE). For this purpose, an operational matrix of fractional integration is designed for Euler polynomials. Together with collocation method, this matrix simplifies the main problem to a set of algebraic equations. Error analysis is also investigated. Numerical examples illustrate the impression of the method.