On Multi-Index Mittag-Leffler Function of Several Variables and Fractional Differential Equations

被引：5
|
作者：
Jaimini, B. B. [1 ]
Sharma, Manju [1 ]
Suthar, D. L. [2 ]
Purohit, S. D. [3 ]
机构：
[1] Govt Coll, Dept Math, Kota 324001, Rajasthan, India
[2] Wollo Univ, Dept Math, POB 1145, Amhara, Ethiopia
[3] Rajasthan Tech Univ, Dept HEAS Math, Kota 324001, Rajasthan, India
来源：
JOURNAL OF MATHEMATICS | 2021年 / 2021卷
关键词：
BEHAVIORS;
D O I：
10.1155/2021/5458037
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we have studied a unified multi-index Mittag-Leffler function of several variables. An integral operator involving this Mittag-Leffler function is defined, and then, certain properties of the operator are established. The fractional differential equations involving the multi-index Mittag-Leffler function of several variables are also solved. Our results are very general, and these unify many known results. Some of the results are concluded at the end of the paper as special cases of our primary results.
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页数：8
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