Fractional Curl With Standard Fractional Vector Cross Product For A Vector Pair

Fractional Curl With Standard Fractional Vector Cross Product For A Vector Pair


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Authors

Keywords:

Vector cross product, Fractional vector cross product, Fractional Curl

Abstract

In this research fractional curl of an electromagnetic vector field is presented using the new definition of Standard Fractional Vector Cross Product. The properties are further supported with particular case at $\gamma =1$ which satisfies the standard vector cross product. The new definition is also defined for $\gamma = 0, \gamma = 0\leq \gamma \leq 1, \gamma = 1$. These mentioned concepts makes it geometrically real and visually more presentable. This new definition can be applied in various fields of electromagnetic theory, electrodynamics, elastodynamics, fluid flow etc.

References

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S. Das, textit{ Geometrically deriving fractional cross product and fractional curl}, Int. J. Math. Comput. textbf20(2013), no. 3, 1-29.

R. A. Horn, C. R. Johnson, textit{Matrix Analysis}, Cambridge Univ. Press UK, 1985.

M. M. Kankarej, J. P. Singh, textit{ Standard Fractional Vector Cross Product}, (2023), under review.

S. Mishra, R. K. Mishra, and S. Patnaik, textit{Fractional Cross product applied in radiation characteristic in micro-strip antenna: A simulation approach}Test Engineering and Management, textbf8(2019), 1392-1401

M. M. Tripathi and J. R. Kim, textit{Fractional vector cross product}, J. Kor. Soc. Math. educ. Ser B: Pure Appl. Math, textbf{29}(2022), No. 1, pp 103-112.

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Published

2022-10-01

How to Cite

Kankarej, M., & Singh, J. P. (2022). Fractional Curl With Standard Fractional Vector Cross Product For A Vector Pair: Fractional Curl With Standard Fractional Vector Cross Product For A Vector Pair. Results in Nonlinear Analysis, 6(3), 19–29. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/175