English

A generalized model for Yang-Fourier transforms in fractal space

Mathematical Physics 2012-07-23 v3 math.MP

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.

Keywords

Cite

@article{arxiv.1106.3615,
  title  = {A generalized model for Yang-Fourier transforms in fractal space},
  author = {Xiao-Jun Yang},
  journal= {arXiv preprint arXiv:1106.3615},
  year   = {2012}
}

Comments

X. J. Yang, A generalized model for Yang-Fourier transforms in fractal space, Advances in Intelligent Transportation Systems, 1(3) (2012) 80-85

R2 v1 2026-06-21T18:24:17.428Z