Generalized extended Mittag-Leffler function and its properties pertaining to integral transforms and fractional calculus

被引：3
|
作者：
Padma, A. [1 ]
Rao, M. Ganeshwara [1 ]
Shimelis, Biniyam [2 ,3 ]
机构：
[1] Chaitanya Bharathi Inst Technol, Dept Math, Hyderabad, Telangana, India
[2] Wollo Univ, Dept Math, Dessie, Ethiopia
[3] Wollo Univ, Coll Nat Sci, Dept Math, PO Box 1145, Dessie, Ethiopia
来源：
RESEARCH IN MATHEMATICS | 2023年 / 10卷 / 01期
关键词：
primary; 26A33; 33C05; 33C20; secondary; 33C65; 33C90; OPERATORS;
D O I：
10.1080/27684830.2023.2220205
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We aim to introduce extended generalized Mittag-Leffler function (EGMLF) via the extended Beta function and obtain certain integral and differential representation of them. Further, we present some formulas of the Riemann--Liouville fractional integration and differentiation operators. Also, we derive various integral transforms, including Euler transform, Laplace transform, Whittakar transform and K-transform. The operator and transform images are expressed in terms of the Wright generalized hypergoemetrichypergeometric type function. Interesting special cases of the main results are also considered.
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收藏
页数：12
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