Definition of the α-Mellin Transform and Some of Its Properties

被引：0
作者：
Nikolova, Yanka [1 ]
机构：
[1] Tech Univ Sofia, Sofia, Bulgaria
来源：
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'11): PROCEEDINGS OF THE 37TH INTERNATIONAL CONFERENCE | 2011年 / 1410卷
关键词：
Fractional Fourier transformation; Mellin transform; equation of fractional order;
D O I：
10.1063/1.3664377
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we give a generalization of the classical Mellin transformation [1]. We also prove some main properties of the alpha-Mellin transform and discuss some of its applications. This paper refers to a solution of fractional differential equation involving Riemann-Liouville fractional derivatives.
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页数：8
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