The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...

the object of this paper is to establish certain generalized fractional integration and differentiation involving generalized mittag-leffler function defined by salim and faraj [25]. the considered generalized fractional calculus operators contain the appell's function $f_3$ [2, p.224] as kernel and are introduced by saigo and maeda [23]. the marichev-saigo-maeda fractional calculus operat...

Cartesian differential categories are equipped with a combinator which axiomatizes the directional derivative. Important models of include classical calculus smooth functions and categorical $\lambda$-calculus. However, cannot account for other interesting notions differentiation more discrete nature such as finite differences. On hand, change action have been shown to capture these examples we...

We are interested in the development of an algorithmic differentiation framework for computing approximations to tangent vectors scalar and systems hyperbolic partial differential equations. The main difficulty such a numerical method is presence shock waves that resolved by proposing discretization calculus introduced Bressan Marson [Rend. Sem. Mat. Univ. Padova, 94:79-94, 1995]. Numerical res...