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On the new conformable optical ferromagnetic and antiferromagnetic magnetically driven waves

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Abstract

Using fractional differential geometry, we define different types of conformable magnetic curves to discuss some geometric features of the motion of the charged particle when its geometry is induced by the conformable fractional derivative. We obtain the non-stretching motions and the inextensibility conditions of the conformable curves to focus on their evolutions. Then, as a special case, we obtain the time evolution of the Frenet–Serret vectors of the conformable curves with respect to the optical ferromagnetic and antiferromagnetic cases. Finally, we focus on the time evolution of conformable curves under the case of the optical ferromagnetic and antiferromagnetic conditions to investigate how the anholonomy density is associated with the magnetic flux flow.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Authors and Affiliations

  1. Department of Mathematics, Muş Alparslan University, Muş, 49250, Turkey

    Talat Körpinar & Rıdvan Cem Demirkol

  2. Department of Administration, Muş Alparslan University, Muş, 49250, Turkey

    Zeliha Körpinar

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  1. Talat Körpinar
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  2. Rıdvan Cem Demirkol
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  3. Zeliha Körpinar
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All authors wrote the paper jointly and contributed equally to this work. All authors read and approved the final version of the manuscript.

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Correspondence to Rıdvan Cem Demirkol.

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Körpinar, T., Demirkol, R.C. & Körpinar, Z. On the new conformable optical ferromagnetic and antiferromagnetic magnetically driven waves. Opt Quant Electron 55, 496 (2023). https://doi.org/10.1007/s11082-023-04755-3

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