Two-sided discrete fractional derivatives and systems

Manuel Duarte Ortigueira, DEE Group Author

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Starting from the discrete-time nabla (forward) and delta (backward) derivatives we introduce a two-sided derivative valid for any order. Its eigenfunction is the normal discrete exponential. This derivative leads to discrete non causal linear systems.
Original languageUnknown
Title of host publicationAIP Conference Proceedings
Pages1416-1419
DOIs
Publication statusPublished - 1 Jan 2012
EventInternational Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -
Duration: 1 Jan 2012 → …

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics (ICNAAM)
Period1/01/12 → …

Keywords

    Cite this

    Ortigueira, M. D., & DEE Group Author (2012). Two-sided discrete fractional derivatives and systems. In AIP Conference Proceedings (pp. 1416-1419) https://doi.org/10.1063/1.4756424
    Ortigueira, Manuel Duarte ; DEE Group Author. / Two-sided discrete fractional derivatives and systems. AIP Conference Proceedings. 2012. pp. 1416-1419
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    title = "Two-sided discrete fractional derivatives and systems",
    abstract = "Starting from the discrete-time nabla (forward) and delta (backward) derivatives we introduce a two-sided derivative valid for any order. Its eigenfunction is the normal discrete exponential. This derivative leads to discrete non causal linear systems.",
    keywords = "fractional derivatives, two-sided, discrete",
    author = "Ortigueira, {Manuel Duarte} and {DEE Group Author}",
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    Ortigueira, MD & DEE Group Author 2012, Two-sided discrete fractional derivatives and systems. in AIP Conference Proceedings. pp. 1416-1419, International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 1/01/12. https://doi.org/10.1063/1.4756424

    Two-sided discrete fractional derivatives and systems. / Ortigueira, Manuel Duarte; DEE Group Author.

    AIP Conference Proceedings. 2012. p. 1416-1419.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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    AB - Starting from the discrete-time nabla (forward) and delta (backward) derivatives we introduce a two-sided derivative valid for any order. Its eigenfunction is the normal discrete exponential. This derivative leads to discrete non causal linear systems.

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    KW - discrete

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    Ortigueira MD, DEE Group Author. Two-sided discrete fractional derivatives and systems. In AIP Conference Proceedings. 2012. p. 1416-1419 https://doi.org/10.1063/1.4756424