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Advancing Fractional Riesz Derivatives through Dunkl Operators.
- Source :
-
Mathematics (2227-7390) . Oct2023, Vol. 11 Issue 19, p4073. 10p. - Publication Year :
- 2023
-
Abstract
- The aim of this work is to introduce a novel concept, Riesz–Dunkl fractional derivatives, within the context of Dunkl-type operators. A particularly noteworthy revelation is that when a specific parameter κ equals zero, the Riesz–Dunkl fractional derivative smoothly reduces to both the well-known Riesz fractional derivative and the fractional second-order derivative. Furthermore, we introduce a new concept: the fractional Sobolev space. This space is defined and characterized using the versatile framework of the Dunkl transform. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SOBOLEV spaces
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 19
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 172986084
- Full Text :
- https://doi.org/10.3390/math11194073