Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213220220701On generalized fractional inequalities for functions of bounded variation with two variables11651182635410.22075/ijnaa.2022.25891.3152ENHuseyinBudakDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey0000-0001-8843-955XKubilayOzcelikDepartment of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, TurkeyArtionKashuriDepartment of Mathematics, Faculty of Technical Science,
University Ismail Qemali, Vlora, Albania0000-0003-0115-3079Muhammad AamirAliSchool of Mathematical Sciences, Nanjing Normal University,
Nanjing, 210023, ChinaZhiyueZhangSchool of Mathematical Sciences, Nanjing Normal University,
Nanjing, 210023, ChinaJournal Article20220112n this paper, we firstly obtain some identities via generalized fractional integrals which generalize some important fractional integrals such as the Riemann-Liouville fractional integrals, the Hadamard fractional integrals, etc. Then by utilizing these equalities we establish some Ostrowski and Trapezoid type inequalities for functions of bounded variation with two variables. Moreover, we give some inequalities involving Hadamard fractional integrals as special cases of our main results.https://ijnaa.semnan.ac.ir/article_6354_4c9c6ffa19e365479cc1b2ffefef5483.pdf