Non-Local Integrals and Derivatives on Fractal Sets With Applications

Baleanu, D.Golmankhaneh, Alireza K.2018-09-262025-09-182018-09-262025-09-182016Golmanknaneh, A.K., Baleanu, D. (2016). Non-local integrals and derivatives on fractal sets with applications. Open Physics, 14(1), 542-548. http://dx.doi.org/10.1515/phys-2016-00622391-5471https://doi.org/10.1515/phys-2016-0062https://hdl.handle.net/20.500.12416/14428Khalili Golmankhaneh, Alireza/0000-0002-5008-0163In 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.eninfo:eu-repo/semantics/openAccessFractal CalculusNon-Local Fractal DerivativesScale ChangeCantor SetFractal DimensionNon-Local Integrals and Derivatives on Fractal Sets With ApplicationsNon-local integrals and derivatives on fractal sets with applicationsArticle10.1515/phys-2016-00622-s2.0-85014583679