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

页码：710 / 725

页数：16

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