A Generalization of the Concept of q-fractional Integrals  

作　　者：Predrag M.RAJKOVIC Sladjana D.MARINKOVIC Miomir S.STANKOVIC 

机构地区：[1]Faculty of Mechanical Engineering, University of Nis [2]Faculty of Electronic Engineering, University of Nis [3]Faculty of Occupational Safety, University of Nis

出　　处：《Acta Mathematica Sinica,English Series》2009年第10期1635-1646,共12页数学学报（英文版）

基　　金：Supported by Ministry of Science,Technology and Development of Republic Serbia (Grant Nos.144023 and 144013)

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-Leffier function.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-Leffier function.

关 键 词：basic hypergeometric functions Q-INTEGRAL Q-DERIVATIVE fractional integrals Mittag-Leffler function 

分 类 号：O172.2[理学—数学]