Fractional Sobolev type spaces of functions of two variables via Riemann-Liouville derivatives
Abstract 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.
Authors
- Dariusz Idczak (ORCID: https://orcid.org/0000-0003-1039-9812)
Institutions
- University of Łódź (PL)
Publication Details
- Journal
- Fractional Calculus and Applied Analysis
- Published
- 2024-10-07
- DOI
- https://doi.org/10.1007/s13540-024-00344-7
- Citations
- 1
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.97