New generalization of reverse Minkowski's inequality for fractional integral

Year 2021, Volume: 5 Issue: 1, 72 - 81, 31.03.2021

Tariq A. Aljaaidi , Deepak Pachpatte

https://doi.org/10.31197/atnaa.756605

Cited By: 1

Abstract

In this research, we introduce some new fractional integral inequalities of Minkowski’s type by using Riemann-Liouville fractional
integral operator. We replace the constants that appear on Minkowski’s inequality by two positive functions. Further, we
establish some new fractional inequalities related to the reverse Minkowski type inequalities via Riemann-Liouville fractional
integral. Using this fractional integral operator, some special cases of reverse Minkowski type are also discussed.

Keywords

fractional inequalities, Riemann-Liouville fractional integral, Riemann-Liouville derivative

Supporting Institution

None

Project Number

None

References

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