Numerical investigation of generalized perturbed Zakharov–Kuznetsov equation of fractional order in dusty plasma

In the present work, the new iterative method with a combination of the Laplace transform of the Caputo’s fractional derivative has been applied to the generalized (3 + 1) dimensional fractional perturbed Zakharov–Kuznetsov equation in a dusty plasma. The proposed method is applied without any discretization and linearization. The numerical and graphical results show the accuracy of the proposed method for nonlinear differential equations. Moreover, the methods are easy to implement and give the efficient approximate solutions.