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 Dα, which satisfy the Leibniz rule Dα(fg)=(Dαf)g+f(Dαg), should have the integer order α=1, i.e. fractional derivatives of non-integer orders cannot satisfy the Leibniz rule.
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More From: Communications in Nonlinear Science and Numerical Simulation
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