Browsing by Author "Zhao, Yang"

Now showing 1 - 5 of 5

Citation - WoS: 15
Citation - Scopus: 26
Fractal Dynamical Model of Vehicular Traffic Flow Within the Local Fractional Conservation Laws
(Hindawi Ltd, 2014) Yang, Xiao-Jun; Baleanu, Dumitru; Cattani, Carlo; Zhao, Yang; Wang, Long-Fei; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
We suggest a new model of the scale conservation equation in the mathematical theory of vehicular traffic flow on the fractal network based on the local fractional calculus.
Citation - WoS: 9
Citation - Scopus: 22
Local Fractional Discrete Wavelet Transform for Solving Signals on Cantor Sets
(Hindawi Ltd, 2013) Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun; Zhao, Yang; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The discrete wavelet transform via local fractional operators is structured and applied to process the signals on Cantor sets. An illustrative example of the local fractional discrete wavelet transform is given.
Citation - WoS: 20
Citation - Scopus: 20
Local Fractional Poisson and Laplace Equations With Applications To Electrostatics in Fractal Domain
(Hindawi Ltd, 2014) Zhao, Yang; Xie, Gong-Nan; Baleanu, Dumitru; Yang, Xiao-Jun; Zhao, Kai; Li, Yang-Yang; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
From the local fractional calculus viewpoint, Poisson and Laplace equations were presented in this paper. Their applications to the electrostatics in fractal media are discussed and their local forms in the Cantor-type cylindrical coordinates are also obtained.
Citation - WoS: 5
Citation - Scopus: 14
Mappings for Special Functions on Cantor Sets and Special Integral Transforms Via Local Fractional Operators
(Hindawi Ltd, 2013) Baleanu, Dumitru; Baleanu, Mihaela Cristina; Cheng, De-Fu; Yang, Xiao-Jun; Zhao, Yang; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding nondifferentiable solutions were presented.
Citation - WoS: 53
Citation - Scopus: 65
Maxwell's Equations on Cantor Sets: a Local Fractional Approach
(Hindawi Ltd, 2013) Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun; Zhao, Yang; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
Maxwell's equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell's equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields. Local fractional differential forms of Maxwell's equations on Cantor sets in the Cantorian and Cantor-type cylindrical coordinates are obtained. Maxwell's equations on Cantor set with local fractional operators are the first step towards a unified theory of Maxwell's equations for the dynamics of cold dark matter.