• Title of article

    No violation of the Leibniz rule. No fractional derivative

  • Author/Authors

    Tarasov، نويسنده , , Vasily E.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2013
  • Pages
    4
  • From page
    2945
  • To page
    2948
  • Abstract
    We demonstrate that a violation of the Leibniz rule is a characteristic property of derivatives of non-integer orders. We prove that all fractional derivatives D α , which satisfy the Leibniz rule D α ( fg ) = ( D α f ) g + f ( D α g ) , should have the integer order α = 1 , i.e. fractional derivatives of non-integer orders cannot satisfy the Leibniz rule.
  • Keywords
    Fractional derivative , Leibniz rule
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Serial Year
    2013
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Record number

    1538056