Spatial Rotation of the Fractional Derivative in Two-Dimensional Space
The transformations of the partial fractional derivatives under spatial rotation in R2 are derived for the Riemann-Liouville and Caputo definitions. These transformation properties link the observation of physical quantities, expressed through fractional derivatives, with respect to different coordi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/719173 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849308352919633920 |
|---|---|
| author | Ehab Malkawi |
| author_facet | Ehab Malkawi |
| author_sort | Ehab Malkawi |
| collection | DOAJ |
| description | The transformations of the partial fractional derivatives under spatial rotation in R2 are derived for the Riemann-Liouville and Caputo definitions. These transformation properties link the observation of physical quantities, expressed through fractional derivatives, with respect to different coordinate systems (observers). It is the hope that such understanding could shed light on the physical interpretation of fractional derivatives. Also it is necessary to be able to construct interaction terms that are invariant with respect to equivalent observers. |
| format | Article |
| id | doaj-art-0e76c39e26c642d98e371081726d1e98 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-0e76c39e26c642d98e371081726d1e982025-08-20T03:54:29ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/719173719173Spatial Rotation of the Fractional Derivative in Two-Dimensional SpaceEhab Malkawi0Department of Physics, United Arab Emirates University, Al Ain, UAEThe transformations of the partial fractional derivatives under spatial rotation in R2 are derived for the Riemann-Liouville and Caputo definitions. These transformation properties link the observation of physical quantities, expressed through fractional derivatives, with respect to different coordinate systems (observers). It is the hope that such understanding could shed light on the physical interpretation of fractional derivatives. Also it is necessary to be able to construct interaction terms that are invariant with respect to equivalent observers.http://dx.doi.org/10.1155/2015/719173 |
| spellingShingle | Ehab Malkawi Spatial Rotation of the Fractional Derivative in Two-Dimensional Space Advances in Mathematical Physics |
| title | Spatial Rotation of the Fractional Derivative in Two-Dimensional Space |
| title_full | Spatial Rotation of the Fractional Derivative in Two-Dimensional Space |
| title_fullStr | Spatial Rotation of the Fractional Derivative in Two-Dimensional Space |
| title_full_unstemmed | Spatial Rotation of the Fractional Derivative in Two-Dimensional Space |
| title_short | Spatial Rotation of the Fractional Derivative in Two-Dimensional Space |
| title_sort | spatial rotation of the fractional derivative in two dimensional space |
| url | http://dx.doi.org/10.1155/2015/719173 |
| work_keys_str_mv | AT ehabmalkawi spatialrotationofthefractionalderivativeintwodimensionalspace |