New generalization of reverse Minkowski`s inequality for fractional integral

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:1
New generalization of reverse Minkowski`s inequality for fractional integral

New generalization of reverse Minkowski`s inequality for fractional integral

Authors : Tariq A ALJAAİDİ, Deepak PACHPATTE

Pages : 72-81

Doi:10.31197/atnaa.756605

View : 17 | Download : 8

Publication Date : 2021-03-31

Article Type : Research Paper

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

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