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Mappings for special functions on Cantor sets and special integral transforms via local fractional operators. (English) Zbl 1295.26008

Summary: 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.

MSC:

26A33 Fractional derivatives and integrals
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