A new lower bound for the L2-norm of the Caputo fractional derivative

被引：0
|
作者：
Jornet, Marc [1 ]
机构：
[1] Univ Valencia, Dept Matemat, Burjassot 46100, Spain
来源：
ARCHIV DER MATHEMATIK | 2024年 / 123卷 / 05期
关键词：
Differintegral operator; Caputo derivative; Inequality; Peano-Sard theorem;
D O I：
10.1007/s00013-024-02033-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a novel, tight lower bound for the norm in L-2[0, T] of the Caputo fractional derivative. It is based on continuous linear functionals, Peano kernels, and the Gaussian hypergeometric function.
引用
收藏
页码：519 / 529
页数：11
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