@article { author = {Budak, Huseyin and Kara, Hasan and Kapucu, Rabia}, title = {New midpoint type inequalities for generalized fractional integral}, journal = {Computational Methods for Differential Equations}, volume = {10}, number = {1}, pages = {93-108}, year = {2022}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {10.22034/cmde.2020.40684.1772}, abstract = {In this paper, we first establish two new identities for differentiable function involving generalized fractional integrals. Then, by utilizing these equalities, we obtain some midpoint type inequalities involving generalized fractional integrals for mappings whose derivatives in absolute values are convex. We also give several results as special cases of our main results.}, keywords = {Hermite-Hadamard inequality,generalized fractional integral,Convex function}, url = {https://cmde.tabrizu.ac.ir/article_12212.html}, eprint = {https://cmde.tabrizu.ac.ir/article_12212_8f59a9592f906eb9d8184547806a9fd2.pdf} }