Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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FRACTIONAL FIELD WITH STANDARD FRACTIONAL VECTOR CROSS PRODUCT

  • MANISHA M. KANKAREJ (Rochester Institute of Technology) ;
  • JAI PRATAP SINGH (Department of Mathematics, B. S. N. V. P. G. College, Lucknow University)
  • Received : 2022.10.27
  • Accepted : 2023.03.29
  • Published : 2023.07.30
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Abstract

In this research we have used the definition of standard fractional vector cross product to obtain fractional curl and fractional field of a standing wave, a travelling wave, a transverse wave, a vector field in xy plane, a complex vector field and an electric field. Fractional curl and fractional field for a complex order are also discussed. We have supported the study with calculation of impedance at γ = 0, 0 < γ < 1, γ = 1. The formula discussed in this paper are useful for study of polarization, reflection, impedance, boundary conditions where fractional solutions have applications.

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References

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