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The vector power-law calculus with applications in power-law fluid flow

Fractals are beautiful mathematical constructs, described by the scaling law [1], which is a mathematical relationship to the complex behaviors in the nature phenomena [2], where this description is related to the theory of dynamical systems [3] in condensed matter problems [4], and in the statistical mechanics of disordered systems [5]. In 1967, Mandelbrot structured the Mandelbrot scaling law, given [6]: