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On the Fractional Derivative Duality in Some Transforms
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Orientador(es)
Resumo(s)
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.
Descrição
The first author was partially funded by national funds through the Foundation for Science and Technology of Portugal under the projects UIDB/00066/2020.
Publisher Copyright:
© 2023 by the authors.
Palavras-chave
Fourier transform Hadamard derivative Laplace transform Liouville derivative Mellin transform scale derivative Z transform Computer Science (miscellaneous) General Mathematics Engineering (miscellaneous)