黎曼-刘维尔节制分数积分的一些有界性结果

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-02-16 DOI:10.1007/s13540-024-00247-7

César E. Torres Ledesma, Hernán A. Cuti Gutierrez, Jesús P. Avalos Rodríguez, Willy Zubiaga Vera

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引用次数: 0

摘要

在这篇论文中，我们将黎曼-刘维尔分式微积分学的一些结果推广到有界情况，即处理黎曼-刘维尔有界分式积分在连续函数空间和勒贝格空间有界区间和实线上的一些有界性结果。此外，我们还考虑了黎曼-黎奥维尔回火分数积分接近黎曼-黎奥维尔分数积分的极限行为。

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Some boundedness results for Riemann-Liouville tempered fractional integrals

In this work we generalize some results of the Riemann-Liouville fractional calculus for the tempered case, namely, we deal with some boundedness results of Riemann-Liouville tempered fractional integrals on continuous function space and Lebesgue spaces in bounded intervals and on the real line. Moreover, the limit behavior of the Riemann-Liouville tempered fractional integrals approaching to the Riemann-Liouville fractional integrals is considered.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464