New generalization of reverse Minkowski's inequality for fractional integral

• 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: inequalities; fractional inequalities; riemann-liouville fractional integral; riemann-liouville derivative
• Online Access: https://dergipark.org.tr/tr/download/article-file/1163835

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.