Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation

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New numerical approach for fractional differential equations (2017, methodology): “When seeking an approximate solution to the fractional order ordinary and partial differential equations, among many other choices that have been used are include the Adomian decomposition, homotopy perturbation and differential transform methods, for example, see [11, 15].”
Legendre wavelets method for the numerical solution of fractional integro-differential equations with weakly singular kernel (2016, methodology): “The most commonly used methods are Variational Iteration Method [10], Generalized Differential Transform Method [11-12], Adomian Decomposition Method [13-14] and Wavelet Method [15-16] etc. Wavelets as a special kind of orthogonal functions have been become an emerging area in computational sciences”
Algorithms for nonlinear fractional partial differential equations: A selection of numerical methods (2008, methodology): “Recently the authors developed the generalized two-dimensional differential transform method (GDTM) for solving linear partial differential equations of fractional order [22], [25].”