On q-Laplace type integral operators and their applications

被引：19

作者：

Ucar, Faruk ^{[1
]}

Albayrak, Durmus ^{[1
]}

机构：

[1] Marmara Univ, Fac Arts & Letters, Dept Math, TR-34722 Istanbul, Turkey

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2012年 / 18卷 / 06期

关键词：

q-calculus; Jackson integral; q-Laplace transform; q-gamma function; the L-q(2)-transform; L-q(2)-transform;

D O I：

10.1080/10236198.2010.540572

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, two q-Laplace type integral transforms called L-q(2)-transform and L-q(2)-transform are introduced. Some properties of q-analogues of the L-2-transform are given, and several relationships between them are studied. Moreover, we show that the new Laplace type q-integral transforms may be regarded as q-extension of the L-2-transform. Some illustrative examples are also given.

引用

页码：1001 / 1014

页数：14

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