Which Derivative?
The actual state of interplay between Fractional Calculus, Signal Processing, and Applied Sciences is discussed in this paper. A framework for compatible integer and fractional derivatives/integrals in signals and systems context is described. It is shown how suitable fractional formulations are rea...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2017-07-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/1/1/3 |
| _version_ | 1819177133105217536 |
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| author | Manuel Ortigueira José Machado |
| author_facet | Manuel Ortigueira José Machado |
| author_sort | Manuel Ortigueira |
| collection | DOAJ |
| description | The actual state of interplay between Fractional Calculus, Signal Processing, and Applied Sciences is discussed in this paper. A framework for compatible integer and fractional derivatives/integrals in signals and systems context is described. It is shown how suitable fractional formulations are really extensions of the integer order definitions currently used in Signal Processing. The particular case of fractional linear systems is considered and the problem of initial conditions is tackled. |
| first_indexed | 2024-12-22T21:21:48Z |
| format | Article |
| id | doaj.art-fd81706197ba46aa9e17df6f6f886eb8 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-12-22T21:21:48Z |
| publishDate | 2017-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-fd81706197ba46aa9e17df6f6f886eb82022-12-21T18:12:11ZengMDPI AGFractal and Fractional2504-31102017-07-0111310.3390/fractalfract1010003fractalfract1010003Which Derivative?Manuel Ortigueira0José Machado1UNINOVA and DEE of Faculdade de Ciências e Tecnologia da UNL, Campus da FCT da UNL, Quinta da Torre, 2829–516 Caparica, PortugalDepartment of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, R. Dr. António Bernardino de Almeida, 431, 4249–015 Porto, PortugalThe actual state of interplay between Fractional Calculus, Signal Processing, and Applied Sciences is discussed in this paper. A framework for compatible integer and fractional derivatives/integrals in signals and systems context is described. It is shown how suitable fractional formulations are really extensions of the integer order definitions currently used in Signal Processing. The particular case of fractional linear systems is considered and the problem of initial conditions is tackled.https://www.mdpi.com/2504-3110/1/1/3fractional derivativescompatibilityfractional linear systems |
| spellingShingle | Manuel Ortigueira José Machado Which Derivative? Fractal and Fractional fractional derivatives compatibility fractional linear systems |
| title | Which Derivative? |
| title_full | Which Derivative? |
| title_fullStr | Which Derivative? |
| title_full_unstemmed | Which Derivative? |
| title_short | Which Derivative? |
| title_sort | which derivative |
| topic | fractional derivatives compatibility fractional linear systems |
| url | https://www.mdpi.com/2504-3110/1/1/3 |
| work_keys_str_mv | AT manuelortigueira whichderivative AT josemachado whichderivative |