Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions
Ahmet Ocak Akdemi̇r, Ali̇ Karaoğlan, Maria Alessandra Ragusa, Erhan Set
Abstract
Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016). In this study, firstly, a new identity by using Atangana-Baleanu fractional integral operators is proved. Then, new fractional integral inequalities have been obtained for convex and concave functions with the help of this identity and some certain integral inequalities.
Topics & Concepts
MathematicsOperator (biology)Regular polygonConcave functionIdentity (music)Fourier integral operatorFractional calculusOperator theoryMathematical analysisPure mathematicsGeometryRepressorGeneTranscription factorChemistryAcousticsPhysicsBiochemistryMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsIterative Methods for Nonlinear Equations