A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations

被引：30

作者：

Abdeljawad, Thabet ^{[1
]}

Benli, Betul ^{[1
]}

Baleanu, Dumitru ^{[1
]}

机构：

[1] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

CALCULUS;

D O I：

10.1155/2012/546062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions. The obtained q-version of Mittag-Leffler function is thought as the q-analogue of the one introduced previously by Kilbas and Saigo (1995).

引用

页数：11

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