An operational calculus formulation of fractional calculus with general analytic kernels

被引：7

作者：

Rani, Noosheza ^{[1
]}

Fernandez, Arran ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, Via Mersin 10, Mersin, Turkey

来源：

ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 12期

关键词：

fractional integrals; fractional derivatives; operational calculus; fractional di ff erential; equations; Mikusi?ski?s operational calculus; REPRESENTATIONS;

D O I：

10.3934/era.2022216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fractional calculus with analytic kernels provides a general setting of integral and derivative operators that can be connected to Riemann-Liouville fractional calculus via convergent infinite series. We interpret these operators from an algebraic viewpoint, using Mikusinski's operational calculus, and utilise this algebraic formalism to solve some fractional differential equations.

引用

页码：4238 / 4255

页数：18

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