Inequalities for different type of functions via Caputo fractional derivative

Deniz Uçar; Deniz Uçar

doi:10.3934/math.2022709

AIMS Mathematics

2022, Volume 7, Issue 7: 12815-12826. doi: 10.3934/math.2022709

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Research article

Inequalities for different type of functions via Caputo fractional derivative

Deniz Uçar ^,

Department of Mathematics, Ušak University, Uşak 64200, Turkey

Received: 09 December 2021 Revised: 07 April 2022 Accepted: 25 April 2022 Published: 05 May 2022
MSC : 26A33, 26D15

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.
- Hermite-Hadamard inequality,
- Caputo fractional derivative,
- convex functions,
- different types of functions
Citation: Deniz Uçar. Inequalities for different type of functions via Caputo fractional derivative[J]. AIMS Mathematics, 2022, 7(7): 12815-12826. doi: 10.3934/math.2022709

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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.

References

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