Non-local Integrals and Derivatives on Fractal Sets with Applications

Khalili Golmankhaneh A., Baleanu D.

Open Physics, cilt.14, sa.1, ss.542-548, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1515/phys-2016-0062
  • Dergi Adı: Open Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.542-548
  • Anahtar Kelimeler: Cantor set, Fractal calculus, Fractal dimension, Non-local fractal derivatives, Scale change
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we discuss non-local derivatives on fractal Cantor sets. The scaling properties are given for both local and non-local fractal derivatives. The local and non-local fractal differential equations are solved and compared. Related physical models are also suggested.