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Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels

Arran Fernandez, Pshtiwan Othman Mohammed

2020Mathematical Methods in the Applied Sciences108 citationsDOI

Abstract

We consider the Hermite‐Hadamard inequality and related results on integral inequalities, in the context of fractional integrals and derivatives defined using Mittag‐Leffler kernels, specifically the Atangana‐Baleanu and Prabhakar models of fractional calculus.

Topics & Concepts

MathematicsFractional calculusHadamard transformHermite polynomialsContext (archaeology)InequalityApplied mathematicsCalculus (dental)Pure mathematicsAlgebra over a fieldMathematical analysisDentistryPaleontologyMedicineBiologyMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis
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