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Local fractional calculus; Local fractional continuous non-differentiable functions; Yang-Fourier transforms; Fractal space
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A Generalized Model For Yang-Fourier Transforms In Fractal Space, Yang Xiao-Jun
A Generalized Model For Yang-Fourier Transforms In Fractal Space, Yang Xiao-Jun
Xiao-Jun Yang
Local fractional calculus deals with everywhere continuous but nowhere differentiable functions in fractal space. The Yang-Fourier transform based on the local fractional calculus is a generalization of Fourier transform in fractal space. In this paper, local fractional continuous non-differentiable functions in fractal space are studied, and the generalized model for the Yang-Fourier transforms derived from the local fractional calculus are introduced. A generalized model for the Yang-Fourier transforms in fractal space and some results are proposed in detail.