# New approach to Minkowski fractional inequalities using generalized   k-fractional integral operator

**Authors:** Vaijanath L. Chinchane

arXiv: 1702.05234 · 2017-02-20

## TL;DR

This paper introduces new Minkowski fractional inequalities utilizing a generalized k-fractional integral operator expressed through the Gauss hypergeometric function, expanding the mathematical framework of fractional calculus.

## Contribution

It presents novel Minkowski fractional inequalities based on a generalized k-fractional integral operator involving hypergeometric functions, advancing fractional calculus theory.

## Key findings

- Derived new Minkowski fractional inequalities
- Utilized hypergeometric functions in fractional integral operators
- Extended existing fractional calculus frameworks

## Abstract

In this paper, we obtain new results related to Minkowski fractional integral inequality using generalized k-fractional integral operator which is in terms of the Gauss hypergeometric function.

## Full text

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## References

24 references — full list in the complete paper: https://tomesphere.com/paper/1702.05234/full.md

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Source: https://tomesphere.com/paper/1702.05234