Generalities on finite element discretization for fractional pressure diffusion equation in the fractal continuum

In this study we explore the application of the novel fractional calculus in fractal continuum ( FCFC ), together with the finite element method ( FEM ), in order to analize explicitly how these differential operators act in the process of discretizing the generalized fractional pressure diffusion equation for a three -dimensional anisotropic continuous fractal flow . The master finite element equation ( MFEE ) for arbitrary interpolation functions is obtained . As an example, MFEE for the case of a generic linear tetrahedron in $\mathbb{R}^3$ is shown . Analytic solution for the spatial variables is determined over a canonical tetrahedral finite element in global coordinates .