A new lower bound for the $\textrm{L}^2$-norm of the Caputo fractional derivative

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-07-20 DOI:10.1007/s00013-024-02033-6

Marc Jornet

引用次数: 0

Abstract

We prove a novel, tight lower bound for the norm in $\textrm{L}^2[0,T]$ of the Caputo fractional derivative. It is based on continuous linear functionals, Peano kernels, and the Gaussian hypergeometric function.

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卡普托分数导数的 $$textrm{L}^2$ 规范的新下限

我们证明了卡普托分数导数在 $\textrm{L}^2[0,T]$ 中的规范的一个新颖、严密的下限。它基于连续线性函数、皮诺核和高斯超几何函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.

A new lower bound for the \(\textrm{L}^2\)-norm of the Caputo fractional derivative

Abstract