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
Link To Document :
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