Non-local Integrals and Derivatives on Fractal Sets with Applications


Khalili Golmankhaneh A., Baleanu D.

Open Physics, vol.14, no.1, pp.542-548, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1515/phys-2016-0062
  • Journal Name: Open Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.542-548
  • Keywords: Cantor set, Fractal calculus, Fractal dimension, Non-local fractal derivatives, Scale change
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.