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Local Fractional Calculus and Its Applications
Proceedings of FDA'12. The 5th IFAC Workshop Fractional Differentiation and its Applications (2012)
  • Yang Xiaojun
Abstract

In this paper we point out the interpretations of local fractional derivative and local fractional integration from the fractal geometry point of view. From Cantor set to fractional set, local fractional derivative and local fractional integration are investigated in detail, and some applications are given to elaborate the local fractional Fourier series, the Yang-Fourier transform, the Yang-Laplace transform, the local fractional short time transform, the local fractional wavelet transform in fractal space.

Keywords
  • local fractional derivative,
  • local fractional integration,
  • fractal space,
  • local fractional integral transforms
Publication Date
2012
Publisher Statement
This paper is coprighted by the author.
Citation Information
Yang Xiaojun. Local Fractional Calculus and Its Applications, Proceedings of FDA'12. The 5th IFAC Workshop Fractional Differentiation and its Applications,Nanjing, (2012) 1-8.