On an extension of the Mikusinski type operational calculus for the Caputo fractional derivative

被引：3
|
作者：
Al-Kandari, M. [1 ]
Hanna, L. A-M. [1 ]
Luchko, Yu. [2 ]
机构：
[1] Kuwait Univ, Dept Math, Kuwait, Kuwait
[2] Beuth Tech Univ Appl Sci, Dept Math Phys & Chem, Berlin, Germany
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2021年 / 32卷 / 09期
关键词：
Caputo fractional derivative; convolutions; operational calculus; convolution quotients fields; Mittag-Leffler function; fields homomorphisms; DIFFERENTIAL-EQUATIONS;
D O I：
10.1080/10652469.2020.1833194
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a two-parameter extension of the operational calculus of Mikusinski's type for the Caputo fractional derivative is presented. The first parameter is connected with the rings of functions that are used as a basis for construction of the convolution quotients fields. The convolutions by themselves are characterized by another parameter. The obtained two-parameter operational calculi are compared each to other and some homomorphisms between the fields of convolution quotients are established.
引用
收藏
页码：710 / 725
页数：16
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