Euler Polynomials Approach to the System of Nonlinear Fractional Differential Equations

摘要

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