Multi-Kernel General Fractional Calculus of Arbitrary Order

被引：20
作者：
Tarasov, Vasily E. [1 ,2 ]
机构：
[1] Lomonosov Moscow State Univ, Skobeltsyn Inst Nucl Phys, Moscow 119991, Russia
[2] Natl Res Univ, Moscow Aviat Inst 915, Dept Phys, Moscow 125993, Russia
来源：
MATHEMATICS | 2023年 / 11卷 / 07期
关键词：
general fractional calculus; fractional derivatives; fractional integrals; EQUATION;
D O I：
10.3390/math11071726
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An extension of the general fractional calculus (GFC) of an arbitrary order, proposed by Luchko, is formulated. This extension is also based on a multi-kernel approach, in which the Laplace convolutions of different Sonin kernels are used. The proposed multi-kernel GFC of an arbitrary order is also considered for the case of intervals (a, b) where -infinity < a < b <= infinity. Examples of multi-kernel general fractional operators of arbitrary orders are proposed.
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页数：32
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