Non-local Integrals and Derivatives on Fractal Sets with Applications
Golmankhaneh Alireza K.,
Baleanu D.
Affiliations
Golmankhaneh Alireza K.
Young Researchers and Elite Club, Urmia Branch, Islamic Azad university, Urmia, Iran
Baleanu D.
Department of Mathematics, Çankaya University, 06530 Ankara, Turkey and Institute of Space Sciences, P.O.BOX, MG-23, R 76900, Magurele-Bucharest, Romania
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.
