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

页码：519 / 529

页数：11