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Fractional Electromagnetic Equations Using Fractional Forms

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Abstract

The generalized physics laws involving fractional derivatives give new models and conceptions that can be used in complex systems having memory effects. Using the fractional differential forms, the classical electromagnetic equations involving the fractional derivatives have been worked out. The fractional conservation law for the electric charge and the wave equations were derived by using this method. In addition, the fractional vector and scalar potentials and the fractional Poynting theorem have been derived.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Çankaya University, 06530, Ankara, Turkey

    Dumitru Baleanu

  2. Institute of Space Sciences, PO Box, MG-23, 76900, Magurele-Bucharest, Romania

    Dumitru Baleanu

  3. Department of Physics, Islamic Azad University-Uromia Branch, PO Box 969, Uromia, Iran

    Ali Khalili Golmankhaneh & Alireza Khalili Golmankhaneh

  4. Department of Physics, University of Pune, Pune, 411007, India

    Alireza Khalili Golmankhaneh

  5. Faculty of Physics, University of Bucharest, Bucharest, Romania

    Mihaela Cristina Baleanu

  6. National Mihail Sadoveanu High School, District 2, Bucharest, Romania

    Mihaela Cristina Baleanu

Authors
  1. Dumitru Baleanu
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  2. Ali Khalili Golmankhaneh
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  3. Alireza Khalili Golmankhaneh
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  4. Mihaela Cristina Baleanu
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Correspondence to Dumitru Baleanu.

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Baleanu, D., Golmankhaneh, A.K., Golmankhaneh, A.K. et al. Fractional Electromagnetic Equations Using Fractional Forms. Int J Theor Phys 48, 3114–3123 (2009). https://doi.org/10.1007/s10773-009-0109-8

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  • DOI: https://doi.org/10.1007/s10773-009-0109-8

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