On the Fractional Derivative Duality in Some Transforms

Mathematics(2023)

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摘要
Duality is one of the most interesting properties of the Laplace and Fourier transforms associated with the integer-order derivative. Here, we will generalize it for fractional derivatives and extend the results to the Mellin, Z and discrete-time Fourier transforms. The scale and nabla derivatives are used. Some consequences are described.
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关键词
fractional derivative duality,transforms
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