Applications of Fractional Exterior Differential in Three-Dimensional Space

CHEN Yong; YAN Zhen-ya; ZHANG Hong-qing

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CHEN Yong, YAN Zhen-ya, ZHANG Hong-qing. Applications of Fractional Exterior Differential in Three-Dimensional Space[J]. Applied Mathematics and Mechanics, 2003, 24(3): 229-233.

Citation:

CHEN Yong, YAN Zhen-ya, ZHANG Hong-qing. Applications of Fractional Exterior Differential in Three-Dimensional Space[J]. Applied Mathematics and Mechanics, 2003, 24(3): 229-233.

Citation:

CHEN Yong, YAN Zhen-ya, ZHANG Hong-qing. Applications of Fractional Exterior Differential in Three-Dimensional Space[J]. Applied Mathematics and Mechanics, 2003, 24(3): 229-233.

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Applications of Fractional Exterior Differential in Three-Dimensional Space

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China

Received Date: 2001-10-09
Rev Recd Date: 2002-06-08
Publish Date: 2003-03-15

Abstract

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.
- fractional differential form,
- Cartesian coordinate,
- spherical coordinate,
- cylindrical coordinate

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References(6)

References

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