Implementation of Analytical Techniques for the Solution of Nonlinear Fractional Order Sawada–Kotera–Ito Equation

This article uses the Yang transform decomposition method and homotopy perturbation to study seventh-order time-fractional Sawada–Kotera–Ito equation. The fractional derivative is taken into account in Caputo sense. We used with Adomian process procedure on problem obtain solution. looked at a single case contrasted it actual result validate methodologies. These techniques create recurrence relations representing proposed problem’s then produced graphical representations that allowed us visually check all of outcomes for various order values. results applying current methodologies revealed strong connections precise resolution under investigation. present also illustrates error analysis. numerical obtained using suggested show methods are both simple have excellent computational merit.