Some new Ostrowski type fractional integral inequalities for generalized $(r;g,s,m,\varphi)$-preinvex functions via Caputo $k$-fractional derivatives

Kashuri, Artion; Liko, Rozana

doi:10.22075/ijnaa.2017.11722.1585

Some new Ostrowski type fractional integral inequalities for generalized $(r;g,s,m,\varphi)$-preinvex functions via Caputo $k$-fractional derivatives

Document Type : Research Paper

Authors

Artion Kashuri
Rozana Liko

Department of Mathematics, Faculty of Technical Science, University "Ismail Qemali", 9400, Vlora, Albania

10.22075/ijnaa.2017.11722.1585

Abstract

In the present paper, the notion of generalized $(r;g,s,m,\varphi)$-preinvex function is applied to establish some new generalizations of Ostrowski type integral inequalities via Caputo $k$-fractional derivatives. At the end, some applications to special means are given.

Keywords