Spatial Rotation of the Fractional Derivative in Two-Dimensional Space
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-27
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The transformations of the partial fractional derivatives under spatial rotation in R 2 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.
American Psychological Association (APA)
Malkawi, Ehab. 2015. Spatial Rotation of the Fractional Derivative in Two-Dimensional Space. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1053016
Modern Language Association (MLA)
Malkawi, Ehab. Spatial Rotation of the Fractional Derivative in Two-Dimensional Space. Advances in Mathematical Physics No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1053016
American Medical Association (AMA)
Malkawi, Ehab. Spatial Rotation of the Fractional Derivative in Two-Dimensional Space. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1053016
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053016