Numerical approach to differential equations of fractional order

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Variational iteration method for fractional heat- and wave-like equations (2009, methodology): “Following the above idea, Draganescu [16], Momani and Odibat [17] [18] [19] [20] [21] [22] [23] applied VIM to more complex fractional differential equations, showing the effectiveness and accuracy of the method.”
Solving systems of fractional differential equations using differential transform method (2008, result): “1 and 2 are in full agreement with the results obtained in [14] using the Adomian decomposition method.”
Numerical solution of the Bagley–Torvik equation by the Bessel collocation method (2013, methodology): “Also, some fractional differential equations have been solved by applying the various methods such as the pseudospectral scheme [8], the Chebyshev spectral methods [9], the operational matrix method [10], the Haar wavelet method [11], the Adomian decomposition method [12, 13], the Legendre wavelets ”