Abstract
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.
Original language | English |
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Article number | 4464 |
Number of pages | 15 |
Journal | Mathematics |
Volume | 11 |
Issue number | 21 |
DOIs | |
Publication status | Published - 27 Oct 2023 |
Keywords
- Fourier transform
- Hadamard derivative
- Laplace transform
- Liouville derivative
- Mellin transform
- scale derivative
- Z transform