Some Fractional Dynamic Inequalities of Hardy’s Type via Conformable Calculus
Samir H. Saker, Mohammed Kenawy, Ghada AlNemer, Mohammed Zakarya
Abstract
In this article, we prove some new fractional dynamic inequalities on time scales via conformable calculus. By using chain rule and Hölder’s inequality on timescales we establish the main results. When α = 1 we obtain some well-known time-scale inequalities due to Hardy, Copson, Bennett and Leindler inequalities.
Topics & Concepts
Conformable matrixType (biology)InequalityMathematicsCalculus (dental)Fractional calculusChain rule (probability)Pure mathematicsApplied mathematicsMathematical analysisEconometricsPhysicsVolatility (finance)DentistryConditional varianceEcologyBiologyAutoregressive conditional heteroskedasticityMedicineQuantum mechanicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems