A Generalization of the Concept of q-fractional Integrals

被引：0
|
作者：
Predrag M.RAJKOVIC [1 ]
Sladjana D.MARINKOVIC [2 ]
Miomir S.STANKOVIC [3 ]
机构：
[1] Faculty of Mechanical Engineering, University of Nis
[2] Faculty of Electronic Engineering, University of Nis
[3] Faculty of Occupational Safety, University of Nis
来源：
Acta Mathematica Sinica(English Series) | 2009年 / 25卷 / 10期
关键词：
basic hypergeometric functions; q-integral; q-derivative; fractional integrals; Mittag Leffier function;
D O I：
暂无
中图分类号：
O172.2 [积分学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the fractional q-integral with variable lower limit of integration.We prove the semigroup property of these integrals, and a formula of Leibniz type. Finally, we evaluatefractional q-integrals of some functions. The consideration of q-exponential function in that sense leadsto q-analogs of Mittag-Leffler function.
引用
收藏
页码：1635 / 1646
页数：12
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