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arxiv: 1402.7161 · v1 · pith:DZAWXHYTnew · submitted 2014-02-28 · 🧮 math.CA

No Violation of the Leibniz Rule. No Fractional Derivative

classification 🧮 math.CA
keywords leibnizrulederivativesfractionalnon-integerorderssatisfyviolation
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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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