APPROXIMATE SOLUTION OF A NONLINEAR FRACTIONAL ORDINARY DIFFERENTIAL EQUATION BY DGJ METHOD

Abstract. Applying the new iterative method (DGJM), which have been used to handle the nonlinear models, we investigate the approximate analytical solutions for a nonlinear fractional ordinary differential equation (FODE), where the fractional derivatives are considered in Caputo sense. On the process of dealing with nonlinear terms, we particularly employ Taylor series expansion to obtain the analytical solutions