Pompeiu type inequalities using conformable fractional calculus and its applications

Erden, S.Sarikaya, M. Z.2021-12-012021-12-01202120757905https://doi.org/10.47013/14.3.10https://hdl.handle.net/20.500.12684/9889We establish Pompeiu's mean value theorem for ?-fractional differentiable mappings. Then, some Pompeiu type inequalities including conformable fractional integrals are obtained, and the weighted versions of this Pompeiu type inequalities are presented. Finally, some applications for quadrature rules and special means are given. © 2021 Yarmouk University. All rights reserved.en10.47013/14.3.10info:eu-repo/semantics/closedAccessConformable fractional integralNumerical integrationPompeiu's mean value theoremSpecial meansPompeiu type inequalities using conformable fractional calculus and its applicationsArticle1435275442-s2.0-85119021146WOS:000731918600010Q4