Spatial Rotation of the Fractional Derivative in Two Dimensional Space
General Mathematics
2015-09-09 v1
Abstract
The transformation of the partial fractional derivatives under spatial rotation in 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 able to construct interaction terms that are invariant with respect to equivalent observers.
Keywords
Cite
@article{arxiv.1505.07058,
title = {Spatial Rotation of the Fractional Derivative in Two Dimensional Space},
author = {Ehab Malkawi},
journal= {arXiv preprint arXiv:1505.07058},
year = {2015}
}