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

ScientificWorldJournal. 2013 Dec 15:2013:428428. doi: 10.1155/2013/428428. eCollection 2013.

Authors

Manuel A Duarte-Mermoud¹, Norelys Aguila-Camacho¹, Javier A Gallegos²

Affiliations

¹ Department of Electrical Engineering, University of Chile, Avenue Tupper 2007, Santiago de Chile 8370451, Chile ; Advanced Mining Technology Center, Avenue Tupper 2007, Santiago de Chile 8370451, Chile.
² Department of Electrical Engineering, University of Chile, Avenue Tupper 2007, Santiago de Chile 8370451, Chile.

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.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Models, Theoretical*