Hermite–Hadamard inequality for fractional integrals of Caputo–Fabrizio type and related inequalities
Mustafa Gürbüz, Ahmet Ocak Akdemir, Saima Rashid and 1 more
Journal of Inequalities and Applications · 2020
doi:10.1186/s13660-020-02438-1 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY-NC-ND
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