Several integral inequalities for generalized Riemann-Liouville fractional operators

In this paper, using a generalized integral operator, of the Riemann- Liouville type, de…ned and studied in a previous work by the authors, we obtain various integral inequalities for positive functions, which contains several re- ported in the literature. Various remarks carried out throughout the...

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Veröffentlicht in:Communications Series A1 Mathematics & Statistics 2021-01, Vol.70 (1), p.269-278
Hauptverfasser: GALEANO DELGADO, Juan Gabriel, NAPOLES VALDES, Juan Eduardo, PÉREZ REYES, Edgardo
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Sprache:eng
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Zusammenfassung:In this paper, using a generalized integral operator, of the Riemann- Liouville type, de…ned and studied in a previous work by the authors, we obtain various integral inequalities for positive functions, which contains several re- ported 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.
ISSN:1303-5991
DOI:10.31801/cfsuasmas.771172