Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212120210201New Ostrowski type conformable fractional inequalities concerning differentiable generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvex mappings945962494910.22075/ijnaa.2019.13075.1673ENArtionKashuriDepartment of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania0000-0003-0115-3079RozanaLikoDepartment of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania0000-0003-2439-8538Journal Article20171112In this article, we first presented a new integral identity concerning differentiable mappings defined on m-invex set. By using the notion of generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type conformable fractional integral inequalities are established. It is pointed out that some new special cases can be deduced from main results of the article.https://ijnaa.semnan.ac.ir/article_4949_2df31abbbef3aa4e9fa97709a07ca13a.pdf