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The fundamentals of local fractional derivative of the one-variable non-differentiable functions
World SCI-TECH R&D (2009)
  • Yang Xiaojun
  • F. Gao, F. Gao
Abstract

Based on the theory of Jumarie’s fractional calculus, local fractional derivative is modified in detail and its fundamentals of local fractional derivative are proposed in this paper. The uniqueness of local fractional derivative is obtained and the Rolle’s theorem, the mean value theorem, the Cauchy’s generalized mean value theorem and the L’Hospital’s rules are proved.

Keywords
  • local fractional derivative,
  • Rolle’s theorem,
  • uniqueness of local fractional derivative,
  • mean value theorems
Publication Date
2009
Publisher Statement
This paper is coprighted by the publisher
Citation Information
X. Yang, F. Gao. "The fundamentals of local fractional derivative of the one-variable non-differentiable functions" World SCI-TECH R&D 31.5 (2009): 920-921.