Generalizations of Hardy’s Type Inequalities via Conformable Calculus
Ghada AlNemer, Mohammed Kenawy, Mohammed Zakarya, Clemente Cesarano, Haytham M. Rezk
Abstract
In this paper, we derive some new fractional extensions of Hardy’s type inequalities. The corresponding reverse relations are also obtained by using the conformable fractional calculus from which the classical integral inequalities are deduced as special cases at α=1.
Topics & Concepts
Conformable matrixType (biology)MathematicsCalculus (dental)InequalityFractional calculusPure mathematicsAlgebra over a fieldApplied mathematicsMathematical analysisPhysicsMedicineEcologyBiologyQuantum mechanicsDentistryMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis