Several integral inequalities for generalized Riemann-Liouville fractional operators

Authors : Juan Gabriel GALEANO DELGADO, Juan Eduardo NAPOLES VALDES, Edgardo PÉREZ REYES

Pages : 269-278

Doi:10.31801/cfsuasmas.771172

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Publication Date : 2021-06-30

Article Type : Research Paper

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