On Fractional Geometry of Curves
Fractional Differential Geometry of curves is discussed, with the help of a new fractional derivative, the Λ-fractional derivative, with the corresponding Λ-fractional space. Λ-Fractional derivative completely conforms with the demands of Differential Topology, for the existence of a differential. T...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/5/4/161 |
| _version_ | 1797504520788377600 |
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| author | Konstantinos A. Lazopoulos Anastasios K. Lazopoulos |
| author_facet | Konstantinos A. Lazopoulos Anastasios K. Lazopoulos |
| author_sort | Konstantinos A. Lazopoulos |
| collection | DOAJ |
| description | Fractional Differential Geometry of curves is discussed, with the help of a new fractional derivative, the Λ-fractional derivative, with the corresponding Λ-fractional space. Λ-Fractional derivative completely conforms with the demands of Differential Topology, for the existence of a differential. Therefore Fractional Differential Geometry is established in that Λ-space. The results are pulled back to the initial space. |
| first_indexed | 2024-03-10T04:06:43Z |
| format | Article |
| id | doaj.art-df88af2d6fd84943b896766e4edd05b9 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T04:06:43Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-df88af2d6fd84943b896766e4edd05b92023-11-23T08:23:06ZengMDPI AGFractal and Fractional2504-31102021-10-015416110.3390/fractalfract5040161On Fractional Geometry of CurvesKonstantinos A. Lazopoulos0Anastasios K. Lazopoulos1Independent Researcher, 14 Theatrou Str., 19009 Rafina, GreeceMathematical Sciences Department, Hellenic Army Academy, 16673 Vari, GreeceFractional Differential Geometry of curves is discussed, with the help of a new fractional derivative, the Λ-fractional derivative, with the corresponding Λ-fractional space. Λ-Fractional derivative completely conforms with the demands of Differential Topology, for the existence of a differential. Therefore Fractional Differential Geometry is established in that Λ-space. The results are pulled back to the initial space.https://www.mdpi.com/2504-3110/5/4/161Λ-fractional derivativeΛ-fractional spaceΛ-fractional differential geometryΛ-fractional tangentΛ-fractional curvatureΛ-fractional focal curve |
| spellingShingle | Konstantinos A. Lazopoulos Anastasios K. Lazopoulos On Fractional Geometry of Curves Fractal and Fractional Λ-fractional derivative Λ-fractional space Λ-fractional differential geometry Λ-fractional tangent Λ-fractional curvature Λ-fractional focal curve |
| title | On Fractional Geometry of Curves |
| title_full | On Fractional Geometry of Curves |
| title_fullStr | On Fractional Geometry of Curves |
| title_full_unstemmed | On Fractional Geometry of Curves |
| title_short | On Fractional Geometry of Curves |
| title_sort | on fractional geometry of curves |
| topic | Λ-fractional derivative Λ-fractional space Λ-fractional differential geometry Λ-fractional tangent Λ-fractional curvature Λ-fractional focal curve |
| url | https://www.mdpi.com/2504-3110/5/4/161 |
| work_keys_str_mv | AT konstantinosalazopoulos onfractionalgeometryofcurves AT anastasiosklazopoulos onfractionalgeometryofcurves |