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Applications of fractional calculus in equiaffine geometry: plane curves with fractional order.
- Source :
-
Mathematical Methods in the Applied Sciences . 11/30/2021, Vol. 44 Issue 17, p13659-13669. 11p. - Publication Year :
- 2021
-
Abstract
- In this paper, we introduce the notions of equiaffine arclength and curvature with fractional order for a plane curve and compare them with the standard ones. By using these definitions, we obtain an equiaffine Frenet formula and then construct an analogue of the fundamental theorem. The plane curves of constant equiaffine curvature with fractional order are classified. Several examples are also illustrated. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PLANE geometry
*PLANE curves
*FRACTIONAL calculus
*CURVATURE
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 44
- Issue :
- 17
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 153434221
- Full Text :
- https://doi.org/10.1002/mma.7649