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Research Article | Open Access

Inequalities for different type of functions via Caputo fractional derivative

Department of Mathematics, Ušak University, Uşak 64200, Turkey
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Abstract

In this paper, we obtain some new inequalities for different type of functions that are connected with the Caputo fractional derivative. We extend and generalize some important inequalities to this interesting calculus including Hermite-Hadamard inequality.

Keywords

Hermite-Hadamard inequalityCaputo fractional derivativeconvex functionsdifferent types of functions
CLC number: 26A33, 26D15

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 12815-12826
DOI: 10.3934/math.2022709

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Uçar D. Inequalities for different type of functions via Caputo fractional derivative. AIMS Mathematics, 2022, 7(7): 12815-12826. https://doi.org/10.3934/math.2022709

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Received: 09 December 2021
Revised: 07 April 2022
Accepted: 25 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)