Sufficient condition on the fractional integral for the convergence of a function

Manuel A. Duarte-Mermoud; Norelys Aguila-Camacho; Javier A. Gallegos

doi:10.1155/2013/428428

Sufficient condition on the fractional integral for the convergence of a function

Manuel A. Duarte-Mermoud
, Norelys Aguila-Camacho
, Javier A. Gallegos

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Article number	428428
Journal	The Scientific World Journal
Volume	2013
DOIs	https://doi.org/10.1155/2013/428428
State	Published - 2013
Externally published	Yes

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AB - 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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DO - 10.1155/2013/428428

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JO - The Scientific World Journal

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Sufficient condition on the fractional integral for the convergence of a function

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