No Violation of the Leibniz Rule. No Fractional Derivative
classification
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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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