Modification of the Optimal Auxiliary Function Method for Solving Fractional Order KdV Equations

In this study, a new modification of the newly developed semi-analytical method, optimal auxiliary function method (OAFM) is used for fractional-order KdVs equations. This called fractional (FOAFM). The time derivatives are treated with Caputo sense. A rapidly convergent series solution obtained from FOAFM and validated by comparing other results. analysis proves that our simplified applicable, contains less computational work, has fast convergence. beauty there no need to assume small parameter such as in perturbation method. effectiveness accuracy proven numerical graphical