Certain novel estimates within fractional calculus theory on time scales
J.F. Shen, Saima Rashid, Muhammad Aslam Noor, Rehana Ashraf, Yu‐Ming Chu
Abstract
The key purpose of this study is to suggest a delta Riemann-Liouville (RL) fractional integral operators for deriving certain novel refinements of Pólya-Szegö and Čebyšev type inequalities on time scales. Some new Pólya-Szegö, Čebyšev and extended Čebyšev inequalities via delta-RL fractional integral operator on a time scale that captures some continuous and discrete analogues in the relative literature. New explicit bounds for unknown functions concerned are obtained due to the presented inequalities.
Topics & Concepts
MathematicsFractional calculusOperator (biology)Pure mathematicsType (biology)InequalityCalculus (dental)Riemann hypothesisScale (ratio)Applied mathematicsMathematical analysisPhysicsTranscription factorChemistryDentistryQuantum mechanicsBiochemistryMedicineGeneBiologyRepressorEcologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsMathematical Inequalities and Applications