Paper Title
Bernoulli Polynomial Method for the Solution of Linear Fractional Differential Equations

Abstract
In this paper a numerical solution for the linear fractional-order differential equations using Bernoulli polynomials is proposed. Employing the Bernoulli polynomials, the fractional differential equation is approximated by a system of algebraic equations. By solving the system of algebraic equations, a set of coefficients are calculated, and the approximate solution is obtained by using the linear combination of those coefficients. Numerical example solutions are presented for various orders of Bernoulli polynomials. Keywords - Bernoulli Polynomials, Collocation Method, Fractional differential Equations, Numerical FDE Solutions.