Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities
Rana Safdar Ali, Aiman Mukheimer, Thabet Abdeljawad, Shahid Mubeen, Sabila Ali, Gauhar Rahman, Kottakkaran Sooppy Nisar
Abstract
In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone increasing functions is utilized to obtain the new version of such fractional inequalities. Our derived results are a generalized form of several proven inequalities already existing in the literature. The proven inequalities are useful for studying the stability and control of corresponding fractional dynamic equations.
Topics & Concepts
MathematicsConvex functionFractional calculusHadamard transformBessel functionKernel (algebra)Type (biology)Mittag-Leffler functionOperator (biology)Applied mathematicsFunction (biology)Stability (learning theory)Pure mathematicsMathematical analysisRegular polygonComputer scienceEcologyChemistryGeometryTranscription factorGeneBiochemistryRepressorBiologyEvolutionary biologyMachine learningMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis