Numerical Investigation of Fractional-Order Fornberg–Whitham Equations in the Framework of Aboodh Transformation

In this investigation, the fractional Fornberg–Whitham equation (FFWE) is solved and analyzed via variational iteration method (VIM) Adomian decomposition (ADM) with help of Aboodh transformation (AT). The FFWE an important model for describing several nonlinear wave propagations in various fields science plasma physics. AT provides a powerful tool transforming fractional-order differential equations (DEs) into integer-order ones, making them more amenable to analytical solutions. Accordingly, main objective investigation demonstrate effectiveness accuracy ADM VIM deriving some approximations FFWE. Furthermore, we highlight advantages potential applications these methods solving other problems scientific fields, especially physics engineering problems.