APPLICATIONS OF FRACTIONAL EXTERIOR DIFFERENTIAL IN THREE-DIMENSIONAL SPACE

被引:0
|
作者
陈勇
闫振亚
张鸿庆
机构
[1] Dalian University of Technology Dalian 116024
[2] P.R.China
[3] Department of Applied Mathematics
[4] Dalian University of Technology
关键词
fractional differential form; Cartesian coordinate; spherical coordinate; cylindrical coordinate;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:256 / 260
页数:5
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