文章基本信息

标题：Spatial Rotation of the Fractional Derivative in Two-Dimensional Space
本地全文：下载
作者：Ehab Malkawi
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2015
卷号：2015
DOI：10.1155/2015/719173
出版社：Hindawi Publishing Corporation
摘要：The transformations 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 be able to construct interaction terms that are invariant with respect to equivalent observers.