A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations

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Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations (2013, methodology): “In this case, Adomian’s decomposition method [7, 8, 9, 10, 11, 12], homotopy perturbation method [13, 14], analytical homotopy method [15, 16, 17], differential transform method [18] are relatively”
The Müntz-Legendre Tau method for fractional differential equations (2016, methodology): “Several analytical and numerical methods to solve fractional differential equations have been given such as, Adomian decomposition method[12], Homotopy perturbation method[32], Wavelet method[36], Linear B-spline method[25], Product integration method[18], multistep method[17], PredictorCorrector me”
An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials (2015, methodology): “For more details about the applications of the method, the reader is advised to consult the research works presented in [7–36] or the references therein.”