FRACTIONAL CALCULUS OF THE GENERALIZED MITTAG-LEFFLER (p,s,k)-FUNCTION

被引：0
|
作者：
Gurjar, Meena Kumari [1 ]
Chhattry, Preeti [2 ]
Shrivastava, Subhash Chandra [3 ]
机构：
[1] Jai Narain Vyas Univ, Dept Math & Stat, Jodhpur 342011, Rajasthan, India
[2] CV Raman Univ Kota, Bilaspur 495113, Chhattisgarh, India
[3] Rungta Coll Engn & Technol, Bhilai 490024, Chhattisgarh, India
来源：
JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES | 2021年 / 20卷 / 1-2期
关键词：
Fractional calculus operators; Wright hypergeometric function; H-function; Generalized Mittag-Leffler (p; s; k)-function;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The object of this paper is to establish fractional integral and differential formulas involving the generalized Mittag-Leffler (p,s,k)-function. The considered fractional integral and differential operators contain the Appell's function as a kernel and are introduced by Saigo-Maeda[15]. We obtain the images of the generalized Mittag-Leffler (p,s,k)-function in terms of the Wright hypergeometric function.[18] We also consider some new and known results from the derived results.
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页码：73 / 82
页数：10
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