WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 5Citation - Scopus: 14Mappings 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, YangThe 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.Article Citation - WoS: 11Citation - Scopus: 79Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets Within Local Fractional Operators(Hindawi Publishing Corporation, 2014) Tenreiro Machado, J. A.; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-Jun; Baleanu, DumitruWe perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative.