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Applied Mathematics and Mechanics

, Volume 24, Issue 3, pp 256–260 | Cite as

Applications of fractional exterior differential in three-dimensional space

  • Chen Yong
  • Yan Zhen-ya
  • Zhang Hong-qing
Article

Abstract

A brief survey of fractional calculus and fractional differential forms was firstly given. The fractional exterior transition to curvilinear coordinate at the origin were discussed and the two coordinate transformations for the fractional differentials for three-dimensional Cartesian coordinates to spherical and cylindrical coordinates are obtained, respectively. In particular, for v=m=1, the usual exterior transformations, between the spherical coordinate and Cartesian coordinate, as well as the cylindrical coordinate and Cartesian coordinate, are found respectively, from fractional exterior transformation.

Key words

fractional differential form Cartesian coordinate spherical coordinate cylindrical coordinate 

Chinese Library Classification

O175 

2000 MR Subject Classification

26A33 53C26 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Chen Yong
    • 1
  • Yan Zhen-ya
    • 1
  • Zhang Hong-qing
    • 1
  1. 1.Department of Applied MathematicsDalian University of TechnologyDalianP.R. China

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