About Maxwell's equations on fractal subsets of ℝ3

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

Central European Journal of Physics, cilt.11, sa.6, ss.863-867, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 6
  • Basım Tarihi: 2013
  • Doi Numarası: 10.2478/s11534-013-0192-6
  • Dergi Adı: Central European Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.863-867
  • Anahtar Kelimeler: fractal derivative, fractal differential equations, fractal integral, fractional Maxwell equation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper we have generalized Fξ -calculus for fractals embedding in ℝ3. Fξ-calculus is a fractional local derivative on fractals. It is an algorithm which may be used for computer programs and is more applicable than using measure theory. In this Calculus staircase functions for fractals has important role. Fξ-fractional differential form is introduced such that it can help us to derive the physical equation. Furthermore, using the Fξ-fractional differential form of Maxwell's equations on fractals has been suggested. © 2013 Versita Warsaw and Springer-Verlag Wien.