A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula

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The homotopy analysis method for solving the time-fractional Fornberg-Whitham equation and comparison with Adomian's decomposition method (2013, methodology): “These methods include the finite difference method [4–6], the Adams–Bashforth–Moulton method [7], the homotopy perturbation method (HPM) [8–10], the generalized differential transform method [11,12], the variational iteration method [13–15] and the Adomian’s decomposition method (ADM) [16,17].”
Alternative variational iteration method for solving the time-fractional Fornberg–Whitham equation (2015, unknown): “, the finite difference method [11,12], reproducing kernel space method [13,14], Adams–Bashforth–Moulton method [15], homotopy perturbation method [16,17], Adomian decomposition method [18,19], homotopy analysis method [20,21], and generalized differential transform method [22,23].”