An Application of Multiple Erdélyi–Kober Fractional Integral Operators to Establish New Inequalities Involving a General Class of Functions
Asifa Tassaddiq, Rekha Srivastava, Rabab Alharbi, R. Md. Kasmani, Sania Qureshi
Abstract
This research aims to develop generalized fractional integral inequalities by utilizing multiple Erdélyi–Kober (E–K) fractional integral operators. Using a set of j, with (j∈N) positively continuous and decaying functions in the finite interval a≤t≤x, the Fox-H function is involved in establishing new and novel fractional integral inequalities. Since the Fox-H function is the most general special function, the obtained inequalities are therefore sufficiently widespread and significant in comparison to the current literature to yield novel and unique results.
Topics & Concepts
Class (philosophy)InequalityMathematicsPure mathematicsApplied mathematicsCalculus (dental)Algebra over a fieldMathematical economicsComputer scienceMathematical analysisArtificial intelligenceMedicineDentistryMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsFractional Differential Equations Solutions