Thanin SitthiwiratthamHŸseyin BudakHasan KaraMuhammad Aamir AliJiraporn Reunsumrit2025-03-102025-03-102021Symmetry2073899410.3390/sym130917242-s2.0-85115800408https://repository.dusit.ac.th//handle/123456789/4675In this paper, we first prove three identities for functions of bounded variations. Then, by using these equalities, we obtain several trapezoid-and Ostrowski-type inequalities via generalized fractional integrals for functions of bounded variations with two variables. Moreover, we present some results for RiemannÐLiouville fractional integrals by special choice of the main results. Finally, we investigate the connections between our results and those in earlier works. Analytic inequalities of this nature and especially the techniques involved have applications in various areas in which symmetry plays a prominent role. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.All Open Access; Gold Open AccessFractional integralsFunctions of bounded variationsTrapezoid-type inequalityArticleScopus