Generalized integral inequalities for ABK-fractional integral operators

Saad Ihsan Butt; Erhan Set; Saba Yousaf; Thabet Abdeljawad; Wasfi Shatanawi

doi:https://doi.org/10.3934/math.2021589

doi.org/10.3934/math.2021589

Generalized integral inequalities for ABK-fractional integral operators

,

,

..., Wasfi Shatanawi

24

Volume: 6, Issue: 9, Pages: 10164 - 10191

Published: Jan 1, 2021

Abstract

In this paper, we employ new version of the Atangana-Baleanu integral operator namely ABK fractional integrals to obtain two general integral identities complying second-order derivatives for a given function. Thus allowing us to derive new generalized Hermite-Hadamard type inequalities via ABK fractional integrals. Moreover we give several new versions of Mid-point and Trapezoid type inequalities by employing Hölder, Young...

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Paper Details

Title

Generalized integral inequalities for ABK-fractional integral operators

DOI

doi.org/10.3934/math.2021589

Published Date

Jan 1, 2021

Volume

6

Issue

9

Pages

10164 - 10191

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