Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 17Citation - Scopus: 16On Local Fractional Operators View of Computational Complexity Diffusion and Relaxation Defined on Cantor Sets(Vinca inst Nuclear Sci, 2016) Zhang, Zhi-Zhen; Machado, J. A. Tenreiro; Yang, Xiao-Jun; Baleanu, DumitruThis paper treats the description of non-differentiable dynamics occurring in complex systems governed by local fractional partial differential equations. The exact solutions of diffusion and relaxation equations with Mittag-Leffler and exponential decay defined on Cantor sets are calculated. Comparative results with other versions of the local fractional derivatives are discussed.Article Citation - WoS: 239Citation - Scopus: 253Fractal Heat Conduction Problem Solved by Local Fractional Variation Iteration Method(Vinca inst Nuclear Sci, 2013) Baleanu, Dumitru; Yang, Xiao-JunThis paper points out a novel local fractional variational iteration method for processing the local fractional heat conduction equation arising in fractal heat transfer.Conference Object Citation - WoS: 16Citation - Scopus: 16Observing Diffusion Problems Defined on Cantor Sets in Different Co-Ordinate Systems(Vinca inst Nuclear Sci, 2015) Baleanu, Dumitru; Baleanu, Mihaela-Cristina; Yang, Xiao-JunIn this paper, the 2-D and 3-D diffusions defined on Cantor sets with local fractional differential operator were discussed in different co-ordinate systems. The 2-D diffusion in Cantorian co-ordinate system can be converted into the symmetric diffusion defined on Cantor sets. The 3-D diffusions in Cantorian co-ordinate system can be observed in the Cantor-type cylindrical and spherical co-ordinate methods.Article Citation - WoS: 75Citation - Scopus: 85Fractal Boundary Value Problems for Integral and Differential Equations With Local Fractional Operators(Vinca inst Nuclear Sci, 2015) Baleanu, Dumitru; Lazarevic, Mihailo P.; Cajic, Milan S.; Yang, Xiao-JunIn the present paper we investigate the fractal boundary value problems for the Fredholm and Volterra integral equations, heat conduction and wave equations by using the local fractional decomposition method. The operator is described by the local fractional operators. The four illustrative examples are given to elaborate the accuracy and reliability of the obtained results.