Hardy-Leindler-Type Inequalities via Conformable Delta Fractional Calculus
Haytham M. Rezk, Wedad Albalawi, H. A. Abd El-Hamid, Ahmed I. Saied, Omar Bazighifan, Mohamed S. Mohamed, Mohammed Zakarya
Abstract
In this article, some fractional Hardy-Leindler-type inequalities will be illustrated by utilizing the chain law, Hölder’s inequality, and integration by parts on fractional time scales. As a result of this, some classical integral inequalities will be obtained. Also, we would have a variety of well-known dynamic inequalities as special cases from our outcomes when <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mi>α</a:mi> <a:mo>=</a:mo> <a:mn>1</a:mn> </a:math> .
Topics & Concepts
Conformable matrixType (biology)Fractional calculusCalculus (dental)MathematicsInequalityPure mathematicsApplied mathematicsMathematical analysisMedicinePhysicsGeologyOrthodonticsQuantum mechanicsPaleontologyNonlinear Differential Equations AnalysisDifferential Equations and Boundary ProblemsFractional Differential Equations Solutions