Fractional Central Differences and Derivatives-Reference-Cited by-同舟云学术

Fractional Central Differences and Derivatives

Published:2008-09 Issue:9-10 Volume:14 Page:1255-1266
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Ortigueira Manuel Duarte¹

Affiliation:

1. UNINOVA and Department of Electrical Engineering, Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa, Campus da FCT da UNL, Quinta da Torre, 2825 114 Monte da Caparica, Portugal,

Abstract

Fractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials. The coherence of these definitions is studied by applying the definitions to functions with Fourier transformable functions. Some properties of these derivatives are presented and particular cases studied.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546307087453

Reference12 articles.

1. Special Functions

2. Henrici, P., 1974, Applied and Computational Complex Analysis, John Wiley & Sons, New York, Vol. 1, pp. 270- 271.

3. Fourier transforms and the operator Hα

4. Introduction to fractional linear systems. Part 2: Discrete-time case

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