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Geometrically Deriving Fractional Cross Product and Fractional Curl

Shantanu Das


In the paper the cross product operation is fractionized by geometrical discourse and then derived in a simple way the expressions for fractional curl. This gives a simple understanding of the process, and is very helpful in various practical cases as have been demonstrated. The new method is verified against the classical method of fractionizing the linear operator by rules of operator algebra. The formula derived in this paper are useful for several applications and applied in various vector fields with this geometrical explanation are thus helpful in understanding the utility of fractional cross product and fractional curl.


Cross-product, curl, fractional derivative, vector field, operator algebra, fractionizing

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