Several integral inequalities for generalized Riemann-Liouville fractional operators

Year 2021, Volume: 70 Issue: 1, 269 - 278, 30.06.2021

Juan Gabriel Galeano Delgado Juan Eduardo Napoles Valdes Edgardo Pérez Reyes

https://doi.org/10.31801/cfsuasmas.771172

Cited By: 2

Abstract

In this paper, using a generalized integral operator, of the Riemann-Liouville type, defined and studied in a previous work by the authors, we obtain various integral inequalities for positive functions, which contains several reported in the literature. Various remarks carried out throughout the work and pointed out in the Conclusions, show the scope and strength of our results, in particular, it is shown that under particular cases of the considered kernel, several known fractional integral operators are obtained.

Keywords

Generalized fractional operator, Riemann-Liouville integral, integral inequalities

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