English

Counterexamples on Jumarie's three basic fractional calculus formulae for non-differentiable continuous functions

Classical Analysis and ODEs 2016-11-17 v1

Abstract

In the present paper, we provide five counterexamples to show directly the Jumarie's formulae are not true for non-differentiable continuous functions.

Cite

@article{arxiv.1611.05099,
  title  = {Counterexamples on Jumarie's three basic fractional calculus formulae for non-differentiable continuous functions},
  author = {Cheng-shi Liu},
  journal= {arXiv preprint arXiv:1611.05099},
  year   = {2016}
}
R2 v1 2026-06-22T16:53:43.469Z