Non-local Integrals and Derivatives on Fractal Sets with Applications

Khalili Golmankhaneh, Alireza; Baleanu, D.

doi:10.1515/phys-2016-0062

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, Scopus)

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.