Sufficient Condition on the Fractional Integral for the Convergence of a Function

A sufficient condition on the fractional integral of the absolute value of a function is given in this paper, which allows to assure the convergence of the function to zero. This result can be useful to assure the convergence of a function when it is hard to know its exact evolution, but conditions...

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Detalles Bibliográficos
Autores principales: Duarte-Mermoud, Manuel A., Aguila-Camacho, Norelys, Gallegos, Javier A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3876839/
https://www.ncbi.nlm.nih.gov/pubmed/24453850
http://dx.doi.org/10.1155/2013/428428
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author Duarte-Mermoud, Manuel A.
Aguila-Camacho, Norelys
Gallegos, Javier A.
author_facet Duarte-Mermoud, Manuel A.
Aguila-Camacho, Norelys
Gallegos, Javier A.
author_sort Duarte-Mermoud, Manuel A.
collection PubMed
description A sufficient condition on the fractional integral of the absolute value of a function is given in this paper, which allows to assure the convergence of the function to zero. This result can be useful to assure the convergence of a function when it is hard to know its exact evolution, but conditions on its fractional integral can be stated.
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spelling pubmed-38768392014-01-16 Sufficient Condition on the Fractional Integral for the Convergence of a Function Duarte-Mermoud, Manuel A. Aguila-Camacho, Norelys Gallegos, Javier A. ScientificWorldJournal Research Article A sufficient condition on the fractional integral of the absolute value of a function is given in this paper, which allows to assure the convergence of the function to zero. This result can be useful to assure the convergence of a function when it is hard to know its exact evolution, but conditions on its fractional integral can be stated. Hindawi Publishing Corporation 2013-12-15 /pmc/articles/PMC3876839/ /pubmed/24453850 http://dx.doi.org/10.1155/2013/428428 Text en Copyright © 2013 Manuel A. Duarte-Mermoud et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Duarte-Mermoud, Manuel A.
Aguila-Camacho, Norelys
Gallegos, Javier A.
Sufficient Condition on the Fractional Integral for the Convergence of a Function
title Sufficient Condition on the Fractional Integral for the Convergence of a Function
title_full Sufficient Condition on the Fractional Integral for the Convergence of a Function
title_fullStr Sufficient Condition on the Fractional Integral for the Convergence of a Function
title_full_unstemmed Sufficient Condition on the Fractional Integral for the Convergence of a Function
title_short Sufficient Condition on the Fractional Integral for the Convergence of a Function
title_sort sufficient condition on the fractional integral for the convergence of a function
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3876839/
https://www.ncbi.nlm.nih.gov/pubmed/24453850
http://dx.doi.org/10.1155/2013/428428
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