论文标题
Prabhakar分数$ Q $ - 构成和$ Q $ - 差异操作员及其属性
The Prabhakar fractional $q$-integral and $q$-differential operators, and their properties
论文作者
论文摘要
在本文中，我们介绍了Prabhakar分数$ Q $ - 构成和$ Q $ - 差异的运营商。我们首先研究了Prabhakar分数$ Q $ integral运营商的半集团属性，这使我们能够介绍相应的$ q $ differentic运算符。还介绍了$ Q $ - 综合和$ Q $ - 二差的运营商的配方。我们显示了Prabhakar分数$ Q $ - 构成运算符的界限，$ Q $积分功能。
In this paper, we have introduced the Prabhakar fractional $q$-integral and $q$-differential operators. We first study the semi-group property of the Prabhakar fractional $q$-integral operator, which allowed us to introduce the corresponding $q$-differential operator. Formulas for compositions of $q$-integral and $q$-differential operators are also presented. We show the boundedness of the Prabhakar fractional $q$-integral operator in the class of $q$-integrable functions.
