Litcius/Paper detail

New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications

Thabet Abdeljawad, Pshtiwan Othman Mohammed, Artion Kashuri

2020Journal of Function Spaces43 citationsDOIOpen Access PDF

Abstract

In this study, a few inequalities of Hermite–Hadamard type are constructed via the conformable fractional operators so that the normal version is recovered in its limit for the conformable fractional parameter. Finally, we present some examples to demonstrate the usefulness of conformable fractional inequalities in the context of special means of the positive numbers.

Topics & Concepts

Conformable matrixHadamard transformContext (archaeology)Hermite polynomialsMathematicsType (biology)Fractional calculusPure mathematicsApplied mathematicsMathematical analysisPhysicsPaleontologyBiologyQuantum mechanicsEcologyMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsMathematical functions and polynomials