- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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. Aljaaidi, Deepak Pachpatte
Pages : 72-81
Doi:10.31197/atnaa.756605
View : 5 | Download : 3
Publication Date : 2021-03-31
Article Type : Research
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