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
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