Homotopy perturbation method for nonlinear partial differential equations of fractional order

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THE CONSTRUCTION OF OPERATIONAL MATRIX OF FRACTIONAL DERIVATIVES USING B-SPLINE FUNCTIONS (2012, methodology): “There are several techniques for solving such equations like Adomian decomposition method [14,27,30,35,43], He’s variational iteration method [17,29,31], homotopy perturbation method [29,40], homotopy analysis method [16], collocation method [34], Galerkin method [12] and other methods [21,24].”
Local fractional series expansion method for solving wave and diffusion equations on Cantor sets (2013, positive): “Various methods, for example, the Adomian decomposition method [10], the Rach-Adomian-Meyers modified decompositionmethod [11], the variational iteration method [12, 13], the homotopy perturbation method [13, 14], the fractal Laplace and Fourier transforms [15], the homotopy analysismethod [16], the”
Advanced Local Fractional Calculus and Its Applications (2012, neutral): “[166] S.”
A Tutorial Review on Fractal Spacetime and Fractional Calculus (2014, positive): “In 2007 Momani and Odibat adopted the method for fractional differential equations with great success [80] and now it is an effective method for fractional calculus [81–92].”