Introduction to Fractional Calculus

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The Grünwald–Letnikov Fractional-Order Derivative with Fixed Memory Length (2013, background): “Krug, working through Cauchy’s integral formula for ordinary derivatives, showed that Riemann’s definite integral had to be interpreted as having a finite lower limit while Liouville’s definition corresponded to a lower limit −∞ [2–6].”
Weyl and Marchaud Derivatives: A Forgotten History (2017, background): “For instance see [55], [47], [33], [11], [10] for some detailed information.”
Fibonacci wavelets and Galerkin method to investigate fractional optimal control problems with bibliometric analysis (2020, background): “Many research and study on the topic are devoted to the fractional calculus theory and specific applications in various fields (Kumar and Rana, 2017; Mathai and Haubold, 2017; Podlubny, 1999).”
Local discontinuous Galerkin methods for fractional diffusion equations (2013, unknown): “The third form, known as the Grünwald−Letnikov derivative and based on ideas derived from finite difference methods, is equivalent to the Riemann−Liouville derivative provided the functions are sufficiently smooth.”