Several new integral inequalities via Caputo fractional integral operators

In this paper, we establish several new integral inequalities including Caputo fractional derivatives for quasi-convex, s-Godunova-Levin convex. In order to obtain our results, we have used fairly elementary methodology by using the classical inequalities such that H?lder inequality, Power mean ineq...

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Veröffentlicht in:Filomat 2023, Vol.37 (6), p.1843-1854
Hauptverfasser: Emin, Özdemir, Butt, Saad, Ekinci, Alper, Nadeem, Mehroz
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we establish several new integral inequalities including Caputo fractional derivatives for quasi-convex, s-Godunova-Levin convex. In order to obtain our results, we have used fairly elementary methodology by using the classical inequalities such that H?lder inequality, Power mean inequality and Weighted H?lder inequality. This work is motivated by Farid et al in [17]. Especially we aim to obtain inequalities involving only right-sided Caputo-fractional derivative of order ?.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2306843E