通过黎曼-刘维尔导数计算两变量函数的分数索波列夫类型空间

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-10-07 DOI:10.1007/s13540-024-00344-7

Dariusz Idczak

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引用次数: 0

摘要

我们介绍并研究任意阶分数绝对连续的两变量函数空间以及分数索波列夫类型的两变量函数空间。我们的方法基于黎曼-李欧维尔分数积分和导数。我们研究了这些空间之间的关系，以及黎曼-李欧维尔和弱导数之间的关系。

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Fractional Sobolev type spaces of functions of two variables via Riemann-Liouville derivatives

We introduce and study the spaces of fractionally absolutely continuous functions of two variables of any order and the fractional Sobolev type spaces of functions of two variables. Our approach is based on the Riemann-Liouville fractional integrals and derivatives. We investigate relations between these spaces as well as between the Riemann-Liouville and weak derivatives.

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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