Fractional electromagnetic equations using fractional forms

Baleanu D., Golmankhaneh A. K., Khalili Golmankhaneh A., Baleanu M. C.

International Journal of Theoretical Physics, cilt.48, sa.11, ss.3114-3123, 2009 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 11
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s10773-009-0109-8
  • Dergi Adı: International Journal of Theoretical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3114-3123
  • Anahtar Kelimeler: Fractional Caputo derivatives, Fractional differential forms, Fractional Maxwell's equations, Fractional Poynting theorem, Fractional vector potential
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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. © Springer Science+Business Media, LLC 2009.