分数阶梅林变换及其应用注释
Note on fractional Mellin transform and applications.
作者信息
Kılıçman Adem, Omran Maryam
机构信息
Department of Mathematics, Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Selangor Malaysia.
Institute for Mathematical Research (INSPEM), University Putra Malaysia, 43400 Serdang, Malaysia.
出版信息
Springerplus. 2016 Feb 1;5:100. doi: 10.1186/s40064-016-1711-x. eCollection 2016.
Abstract
In this article, we define the fractional Mellin transform by using Riemann-Liouville fractional integral operator and Caputo fractional derivative of order [Formula: see text] and study some of their properties. Further, some properties are extended to fractional way for Mellin transform.
摘要
在本文中，我们利用黎曼 - 刘维尔分数阶积分算子和阶数为[公式：见原文]的卡普托分数阶导数来定义分数阶梅林变换，并研究它们的一些性质。此外，梅林变换的一些性质被扩展到分数阶情形。
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