Document Type : Research Paper

Authors

• Sabrina Taf ¹
• Kamel Brahim ²

¹ Department of Mathematic, Faculty SEI, UMAB University of Mostaganem, Algeria

² Faculty of science of Tunis, Tunisia

Abstract

Fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order. The purpose of this work is to use Hadamard fractional integral to establish some new integral inequalities of Gruss type by using one or two parameters which ensues four main results . Furthermore, other integral inequalities of reverse Minkowski's type are obtained for positive functions resulting in two theorems.

Keywords

• Hadamard fractional integral
• Fractional integral inequalities
• Minkowski's inequality