A New Look into the Discrete-Time Fractional Calculus: Derivatives and Exponentials

Manuel Duarte Ortigueira; Fernando José Almeida Vieira do Coito; Juan J. Trujillo

doi:10.3182/20130204-3-FR-4032.00076

A New Look into the Discrete-Time Fractional Calculus: Derivatives and Exponentials

Manuel Duarte Ortigueira, Fernando José Almeida Vieira do Coito, Juan J. Trujillo

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

8 Citations (Scopus)

Abstract

A derivative based discrete-time signal processing is presented. Both nabla (forward) and delta (backward) derivatives are studied and generalised including the fractional case. The corresponding exponentials are introduced as eigenfunctions of such derivatives

Original language	English
Title of host publication	IFAC Joint Conference SSSC
Subtitle of host publication	Fractional Differentiation and its Applications
Publisher	IFAC Secretariat
Pages	629-634
Number of pages	6
ISBN (Print)	978-390282327-4
DOIs	https://doi.org/10.3182/20130204-3-FR-4032.00076
Publication status	Published - 1 Jan 2013
Event	6th Workshop on Fractional Differentiation and Its Applications - Duration: 1 Jan 2013 → …

Conference

Conference	6th Workshop on Fractional Differentiation and Its Applications
Period	1/01/13 → …

Access to Document

10.3182/20130204-3-FR-4032.00076

Cite this

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title = "A New Look into the Discrete-Time Fractional Calculus: Derivatives and Exponentials",

abstract = "A derivative based discrete-time signal processing is presented. Both nabla (forward) and delta (backward) derivatives are studied and generalised including the fractional case. The corresponding exponentials are introduced as eigenfunctions of such derivatives",

author = "Ortigueira, {Manuel Duarte} and Coito, {Fernando Jos{\'e} Almeida Vieira do} and Trujillo, {Juan J.}",

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A New Look into the Discrete-Time Fractional Calculus: Derivatives and Exponentials. / Ortigueira, Manuel Duarte ; Coito, Fernando José Almeida Vieira do; Trujillo, Juan J.
IFAC Joint Conference SSSC: Fractional Differentiation and its Applications. IFAC Secretariat, 2013. p. 629-634.

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

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