Some Gruss type Inequalities using Pompeiu's mean value theorem on Conformable Fractional Calculus

TL;DR

This paper develops Gruss-like inequalities within conformable fractional calculus by applying Pompeiu's mean value theorem, expanding the mathematical tools available for fractional analysis.

Contribution

It introduces new Gruss inequalities in conformable fractional calculus using Pompeiu's mean value theorem, a novel approach in this field.

Findings

Derived new Gruss inequalities for conformable fractional calculus.

Extended Pompeiu's mean value theorem to fractional calculus context.

Provided mathematical foundations for further research in fractional inequalities.

Abstract

The main objective of this paper is to obtain some Gruss Like Inequalities using Pompeiu's mean value theorem on Conformable Fractional Calculus.