# Inequalities for new class of fractional integral operators

Volume 10, Issue 12, pp 6166--6176

Publication Date: 2017-12-02

http://dx.doi.org/10.22436/jnsa.010.12.04

### Authors

Hasib Khan - College of Engineering, Mechanics and Materials, Hohai University, 211100, Nanjing, P. R. China
Hongguang Sun - College of Engineering, Mechanics and Materials, Hohai University, 211100, Nanjing, P. R. China
Wen Chen - College of Engineering, Mechanics and Materials, Hohai University, 211100, Nanjing, P. R. China
Dumitru Baleanu - Department of Mathematics, Cankaya University, 06530 Ankara, Turkey

### Abstract

The applications of fractional order integrals have promoted the study of inequalities. In this paper, we utilize recently introduced left- and right-fractional conformable integrals (FCI) for a class of decreasing $n$ positive functions such that $n\in N$, for the generalization of existing integral inequalities. Our results have the potentials to be used for the investigation of positive solutions of different classes of fractional differential equations.

### Keywords

Fractional integral inequalities, left-fractional conformable integral, right-fractional conformable integral