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

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. © 2013 Manuel A. Duarte-Mermoud et al.