Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (3): 256-260.
陈勇, 闫振亚, 张鸿庆
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RSS收稿日期:2001-10-09
修回日期:2002-06-08
出版日期:2003-03-18
发布日期:2003-03-18
基金资助:CHEN Yong, YAN Zhen-ya, ZHANG Hong-qing
Received:2001-10-09
Revised:2002-06-08
Online:2003-03-18
Published:2003-03-18
Supported by: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.
中图分类号:
陈勇;闫振亚;张鸿庆. APPLICATIONS OF FRACTIONAL EXTERIOR DIFFERENTIAL IN THREE-DIMENSIONAL SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 256-260.
CHEN Yong;YAN Zhen-ya;ZHANG Hong-qing . APPLICATIONS OF FRACTIONAL EXTERIOR DIFFERENTIAL IN THREE-DIMENSIONAL SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 256-260.
| [1] Dold A, Eckmann B. Fractional Calculus and Its Aapplications[M].Berlin: Springer-Verlag,1975. [2] Kemer R. Z3-graded exterior differential calculus and gauge theories of higher order[J]. Lett Math Phys, 1996,36(5):441-454. [3] Dubois-Violette M. Generalized homologies for dN = 0 and graded q-differential algebras[J].Contemp Math, 1998,219(1):69-79. [4] Coquereaux R. Differentials of higher order in noncommutative differential geometry[J]. Lett Math Phys, 1997,42(3):241-259. [5] Madore J. An Introduction to Noncommutative Differential Geometry and Its Applications [M]. Cambridge: Cambridge University Press, 1995. [6] Cottrill-Shepherd K, Naber M. Fractional differential forms[J]. J Math Phys, 2001,42(5):2203-2212. |
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