A generalization of the concept of q-fractional integrals

被引：21
|
作者：
Rajkovic, Predrag M. [1 ]
Marinkovic, Sladjana D. [2 ]
Stankovic, Miomir S. [3 ]
机构：
[1] Univ Nis, Fac Mech Engn, Nish 18000, Serbia
[2] Univ Nis, Fac Elect Engn, Nish 18000, Serbia
[3] Univ Nis, Fac Occupat Safety, Nish 18000, Serbia
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-Leffler function; Q-DERIVATIVES;
D O I：
10.1007/s10114-009-8253-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 evaluate fractional q-integrals of some functions. The consideration of q-exponential function in that sense leads to q-analogs of Mittag-Leffler function.
引用
收藏
页码：1635 / 1646
页数：12
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