The generalized p-k-Mittag-Leffler function and solution of fractional kinetic equations

被引：0
|
作者：
M. Kamarujjama
N. U. Khan
Owais Khan
机构：
[1] Aligarh Muslim University,Department of Applied Mathematics
来源：
The Journal of Analysis | 2019年 / 27卷
关键词：
Integral transforms; Fractional calculus; Fox-Wright function; Generalized Mittag-Leffler function; Fractional kinetic equations; 42A38; 26A33; 33E12; 33C20;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we define the generalized p-k-Mittag-Leffler function and investigate its various important properties such as: Mellin-Barnes integral formula, integral transforms, and fractional calculus. The generalized p-k-Mittag-Leffler function is also discussed in terms of the solution of fractional kinetic equations. Certain interesting and useful examples are considered as special cases of generalized p-k-MLF to give the applications of our main results. We also point out their relevance with known results.
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页码：1029 / 1046
页数：17
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