Spatial rotation of the fractional derivative in two-dimensional space

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2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number719173
JournalAdvances in Mathematical Physics
Volume2015
DOIs
Publication statusPublished - 2015

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Applied Mathematics

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