Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order

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Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations (2014, methodology): “The approximate solutions using the present method are in high agreement with the exact solutions, for q 1⁄4 1, and as indicated in [35], the solution continuously depends on the time-fractional derivative.”
Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions (2017, methodology): “…fractional differential equation such as homotopy perturbation method (Hosseinnia et al., 2008), Modification of homotopy perturbation methods (Odibat and Momani, 2008), Taylor collocation method (Cenesiz et al., 2010), Jacobi operational matrix method (Kazem, 2013), Variational iteration…”
A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials (2012, methodology): “This example has been solved using HAM, ADM, VIM and HPM in [3, 11, 16, 19].”
The combined Laplace transform and new homotopy perturbation methods for stiff systems of ODEs (2012, methodology): “For example, it was applied to nonlinear Schrödinger equations [10], to nonlinear equations arising in heat transfer [11], to the quadratic Riccati differential equation [12], and to other equations [13–17].”