Taylor’s formula involving generalized fractional derivatives
نویسندگان
چکیده
منابع مشابه
On certain fractional calculus operators involving generalized Mittag-Leffler function
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...
متن کاملVector Grünwald Formula for Fractional Derivatives
Fractional derivatives have been around for centuries [22, 26] but recently they have found new applications in physics [2, 6, 7, 9, 15, 18, 19, 29], hydrology [1, 4, 5, 10, 14, 28], and finance [24, 25, 27]. Analytical solutions of ordinary fractional differential equations [22, 23] and partial fractional differential equations [8, 16] are now available in some special cases. But the solution ...
متن کاملon certain fractional calculus operators involving generalized mittag-leffler function
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...
متن کاملOn the Solutions of Generalized Fractional Kinetic Equations Involving the Generalized Functions for the Fractional Calculus
In view of the usefulness and great importance of fractional kinetic equations due to their occurrence in certain astrophysical problems, we have further investigated the generalized fractional kinetic equations; solutions of which contain the Rand Gfunctions of Lorenzo and Hartley (the generalized functions for the fractional calculus). The aim of this paper is to investigate the solutions of ...
متن کاملSolutions of generalized fractional kinetic equations involving Aleph functions
In view of the usefulness and great importance of the kinetic equation in certain astrophysical problems, the authors develop a new and further generalized form of the fractional kinetic equation in terms of the Aleph-function by using the Sumudu transform. This new generalization can be used for the computation of the change of chemical composition in stars like the sun. The manifold generalit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2018
ISSN: 0096-3003
DOI: 10.1016/j.amc.2018.04.040