CERTAIN FRACTIONAL INTEGRAL AND FRACTIONAL DERIVATIVE FORMULAE WITH THEIR IMAGE FORMULAE INVOLVING GENERALIZED MULTI-INDEX MITTAG-LEFFLER FUNCTION

被引：0
|
作者：
Chand, Mehar [1 ]
Kasmaei, Hamed Daei [2 ]
Senol, Mehmet [3 ]
机构：
[1] Baba Farid Coll, Dept Math, Bathinda 151001, India
[2] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran 13185768, Iran
[3] Nevsehir Haci Bektas Veli Univ, Fac Sci, Dept Math, TR-50300 Nevsehir, Turkey
来源：
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2019年 / 173卷 / 03期
关键词：
Pochhemmer symbol; Fractional calculus; Fractional derivative; Fractional integration; Mittag-Leffler function; Beta transform; Laplace transform; Whittaker transform;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main objective of this paper is to establish some image formulas by applying the Riemann-Liouville fractional derivative and integral operators to the product of generalized multi-index Mittag-Leffler function E-(alpha j,beta j)m(gamma,q) (.). Some more image formulas are derived by applying integral transforms. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.
引用
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页码：7 / 29
页数：23
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