Some Integral Inequalities via Caputo and Liouville Fractional Integral Operators for m-convex Functions
DOI:
https://doi.org/10.63286/jima.023Keywords:
Caputo fractional derivative, m-convex function, Hölder inequality, power-mean inequalityAbstract
The present study is comprised of two sections. Firstly, this study aims is to obtain some inequalities on Caputo fractional derivatives using elementary inequalities. Secondly, several novel inequalities are established, including Caputo fractional derivatives for m-convex functions. In this paper, upper bounds of the Caputo type for Lemma 1.8 [28] and Lemma 1.9 [29] have been obtained.
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