VECTOR GRÜNWALD FORMULA FOR FRACTIONAL DERIVATIVES

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Fractional vector calculus for fractional advection–dispersion (2006, unknown): “a mixture of fractional directional derivatives [45].”
A second-order accurate numerical method for the two-dimensional fractional diffusion equation (2007, background): “See [22] for one possible approach to developing numerical schemes in this more complicated setting.”
Variational solution of fractional advection dispersion equations on bounded domains in ℝd (2007, methodology): “If we view f(∆x, ∆y, ∆t) as an arbitrary bivariate stable distribution with index α 6= 1, [10], we have f̂(ω1, ω2, ∆t) = exp [ −i∆tb · ω + a ∆t ∫ 2π”
What is the fractional Laplacian? A comparative review with new results (2018, methodology): “We develop a new approximation method for the directional definition using a radial basis function (RBF) collocation method, which also makes use of the vector Grünwald scheme of [97].”
The Poisson distribution, abstract fractional difference equations, and stability (2017, methodology): “al have published a series of papers in which they used the Grünwald-Letnikov difference scheme in approximating the fractional diffusion equation, see [36, 37].”