Hermite–Hadamard inequality for fractional integrals of Caputo–Fabrizio type and related inequalities

Published on Dec 1, 2020in Journal of Inequalities and Applications2.491
· DOI :10.1186/S13660-020-02438-1
Mustafa Gürbüz4
Estimated H-index: 4
(Ağrı İbrahim Çeçen University),
Ahmet Ocak Akdemir14
Estimated H-index: 14
(Ağrı İbrahim Çeçen University)
+ 1 AuthorsErhan Set21
Estimated H-index: 21
(Ordu University)
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Abstract
In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for convex functions is proved for fractional order integrals. Also, some applications of our main findings are given.
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