Two-sided discrete fractional derivatives and systems

Manuel Duarte Ortigueira; DEE Group Author

doi:10.1063/1.4756424

Two-sided discrete fractional derivatives and systems

Manuel Duarte Ortigueira, DEE Group Author

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	Unknown
Title of host publication	AIP Conference Proceedings
Pages	1416-1419
DOIs	https://doi.org/10.1063/1.4756424
Publication status	Published - 1 Jan 2012
Event	International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) - Duration: 1 Jan 2012 → …

Conference

Conference	International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)
Period	1/01/12 → …

Access to Document

10.1063/1.4756424

http://oa.uninova.pt/5263/

Cite this

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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.",

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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.

KW - fractional derivatives

KW - two-sided

KW - discrete

U2 - 10.1063/1.4756424

DO - 10.1063/1.4756424

M3 - Conference contribution

SN - 978-0-7354-1091-6

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BT - AIP Conference Proceedings

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