An iterative method for solving nonlinear functional equations

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Solving systems of fractional differential equations using differential transform method (2008, methodology): “Recently, theAdomian decomposition method and variational iteration method have been used for solving a wide range of problems [3,6,10–13,15–18,20].”
Convergence of the Adomian decomposition method for initial‐value problems (2011, methodology): “The ADM was also applied to boundary-value problems for differential equations [21, 22] and to partial differential equations [23–26].”
Convergence of the New Iterative Method (2011, methodology): “A new iterative method introduced by Daftardar-Gejji and Jafari 2006 DJ Method is an efficient technique to solve nonlinear functional equations.”
Iterative methods for solving fourth‐ and sixth‐order time‐fractional Cahn‐Hillard equation (2019, background): “αt u = μuux − 18uu(2)xx − 36u(2)xuxx − 24uuxuxxx − 3u(2)uxxxx + uxxxx + uxxxxxx, 0 < α ≤ 1, (48)”
Solving Fractional-Order Logistic Equation Using a New Iterative Method (2012, methodology): “A fractional version of logistic equation is solved using new iterative method proposed by Daftardar-Gejji and Jafari 2006 .”