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• Comments on various extensions of the Riemann–Liouville fractional derivatives : About the Leibniz and chain rule properties

  Publication

  • A. Szafrańska
  • J. Cresson

  - Communications in Nonlinear Science and Numerical Simulation - Year 2020

  Starting from the Riemann–Liouville derivative, many authors have built their own notion of fractional derivative in order to avoid some classical difficulties like a non zero derivative for a constant function or a rather complicated analogue of the Leibniz relation. Discussing in full generality the existence of such operator over continuous functions, we derive some obstruction Lemma which can be used to prove the triviality...

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