Geodesic
Several new integral inequalities via Caputo fractional integral operators
Filomat, Tome 37 (2023) no. 6, p. 1843

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

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 ¨ older inequality, Power mean inequality and Weighted H ¨ older 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 α.
DOI : 10.2298/FIL2306843E
Classification : 26A33, 26A51, 26D15
Keywords: Convex function, Quasi - convex, s−convex, s−Godunova -Levin type, Caputo-Fractional integral, Hermite - Hadamard inequality, Hölder inequality 
Emin M Özdemi; Saad Ihsan Butt; Alper Ekinci; Mehroz Nadeem. Several new integral inequalities via Caputo fractional integral operators. Filomat, Tome 37 (2023) no. 6, p. 1843 . doi: 10.2298/FIL2306843E
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     title = {Several new integral inequalities via {Caputo} fractional integral operators},
     journal = {Filomat},
     pages = {1843 },
     year = {2023},
     volume = {37},
     number = {6},
     doi = {10.2298/FIL2306843E},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306843E/}
}
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