Local Fractional Operator for Analytical Solutions of the K(2, 2)-Focusing Branch Equations of Time-Fractional Order

Local Fractional Operator (LFO) with respect to Caputo Derivative (CD) is employed for approximate-analytical solutions of the K(2, 2)-focusing branch equation of time-fractional order. The LFO technique is a projected version of the standard Differential Transform Method. The results obtained show that the method is simple, easy in implementation, and very much in line with the exact solutions at α = 1. Thus, the efficiency and robustness of the method. In addition, the proposed technique does not require the process or concept of Lagrange multipliers identification as in the case of the Variational Iteration Method.