Browsing Fen - Edebiyat Fakültesi by Author "Cheng, De-Fu"

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Local Fractional Discrete Wavelet Transform for Solving Signals on Cantor Sets

Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun (Hindawi LTD, 2013)

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.
Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators

Zhao, Yang; Baleanu, Dumitru; Baleanu, Mihaela Cristina; Cheng, De-Fu; Yang, Xiao-Jun (Hindawi LTD, 2013)

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 ...
Maxwell's Equations on Cantor Sets: A Local Fractional Approach

Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun (Hindawi LTD, 2013)

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 ...

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