不违反莱布尼茨规则。无分数导数
No Violation of the Leibniz Rule. No Fractional Derivative
摘要:
我们证明了违反莱布尼茨规则是一个特性的衍生物的非整数阶。证明了满足Leibniz规则D^(fg)=(D^af)g + f(D^ag)的分数阶导数D^a的整数阶数a=1,即非整数阶的分数阶导数不能满足Leibniz规则.
英文摘要:
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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