ITERATIVE¡LAURENT METHOD FOR SOLVING NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

In this paper, a new approach of the iterative method is developed to handle nonlinear differential equations of fractional order. The proposed approach is capable of reducing the size of calculations and easily overcome the difficulty arising in calculating complicated integrals. Furthermore, the new approach is compared with the variational iteration method and Adomian decomposition method and the results show the efficiency of the proposed method.