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.
ASJC Scopus subject areas
- General Physics and Astronomy
- Applied Mathematics