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

被引：0
|
作者：
Idczak, Dariusz [1 ]
机构：
[1] Univ Lodz, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2024年 / 27卷 / 06期
关键词：
Functions of two variables; Riemann-Liouville derivative; Weak derivative; Fractional absolute continuity; Fractional Sobolev type spaces; FUNDAMENTAL LEMMA; ORDER;
D O I：
10.1007/s13540-024-00344-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：2892 / 2947
页数：56
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