On Fractional Derivatives and Primitives of Periodic Functions-Reference-Cited by-同舟云学术

On Fractional Derivatives and Primitives of Periodic Functions

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Area I.¹,Losada J.²,Nieto J. J.²³

Affiliation:

1. Departamento de Matemática Aplicada II, E.E. Telecomunicación, Universidade de Vigo, 36310 Vigo, Spain

2. Facultad de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

3. Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

We prove that the fractional derivative or the fractional primitive of aT-periodic function cannot be aT~-periodic function, for any periodT~, with the exception of the zero function.

Funder

Ministerio de Economía y Competitividad of Spain

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/392598.pdf

Reference24 articles.

1. Periodic inputs reconstruction of partially measured linear periodic systems

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