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arXiv · 1106.3615

A generalized model for Yang-Fourier transforms in fractal space

Xiao-Jun Yang
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Abstract

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.

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Xiao-Jun Yang. 2012-07-20. A generalized model for Yang-Fourier transforms in fractal space. https://arxiv.org/abs/1106.3615

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