Abstract
The natural transform decomposition method (NTDM) is a relatively new transformation method for finding an approximate differential equation solution. In the current study, the NTDM has been used for obtaining an approximate solution of the fractional‐order generalized perturbed Zakharov–Kuznetsov (GPZK) equation. The method has been tested for three nonlinear cases of the fractional‐order GPZK equation. The absolute errors are analyzed by the proposed method and the q‐homotopy analysis transform method (q‐HATM). 3D and 2D graphs have shown the proposed method’s accuracy and effectiveness. NTDM gives a much‐closed solution after a few terms.
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