New generalization of reverse Minkowski's inequality for fractional integral

The realizations of inequalities which containing the fractional integral and dierential operators is considered to be important due to its wide implementations among authors. In this research, we introduce some new fractional integral inequalities of Minkowski's type by using Riemann-Liouville...

Full description

Bibliographic Details
Main Authors: Tariq A. Aljaaidi, Deepak Pachpatte
Format: Article
Language:English
Published: ATNAA 2021-01-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1163835
Description
Summary:The realizations of inequalities which containing the fractional integral and dierential operators is considered to be important due to its wide implementations among authors. 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 appears 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.
ISSN:2587-2648
2587-2648