Fractional Differential Forms II

Details Fractional Differential Forms II Fractional Differential Forms II

2003-01-13

arxiv.org/abs/math-ph/0301016v1

Physics

Mathematical Physics

40 pages

Scientific paper

This work further develops the properties of fractional differential forms. In particular, finite dimensional subspaces of fractional form spaces are considered. An inner product, Hodge dual, and covariant derivative are defined. Coordinate transformation rules for integral order forms are also computed. Matrix order fractional calculus is used to define matrix order forms. This is achieved by combining matrix order derivatives with exterior derivatives. Coordinate transformation rules and covariant derivative for matrix order forms are also produced. The Poincare' lemma is shown to be true for exterior fractional differintegrals of all orders excluding those whose orders are non-diagonalizable matrices.

Affiliated with

Also associated with

No associations

Rating

Fractional Differential Forms II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fractional Differential Forms II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Differential Forms II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-323662