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.
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页码：4238 / 4255
页数：18
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