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arXiv · 1402.7161

No Violation of the Leibniz Rule. No Fractional Derivative

Vasily E. Tarasov
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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^a, which satisfy the Leibniz rule D^(fg)=(D^a f) g + f (D^a g), should have the integer order a=1, i.e. fractional derivatives of non-integer orders cannot satisfy the Leibniz rule.

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Vasily E. Tarasov. 2014-02-28. No Violation of the Leibniz Rule. No Fractional Derivative. https://doi.org/10.1016/j.cnsns.2013.04.001

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