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

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

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, som...

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Bibliographic Details
Main Authors: Mustafa Gürbüz, Ahmet Ocak Akdemir, Saima Rashid, Erhan Set
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Journal of Inequalities and Applications
Subjects:
Caputo–Fabrizio Fractional integral
Convexity
Online Access:http://link.springer.com/article/10.1186/s13660-020-02438-1

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