POMPEIU TYPE INEQUALITIES USING CONFORMABLE FRACTIONAL CALCULUS AND ITS APPLICATIONS

Abstract

We establish Pompeiu's mean value theorem for ca-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.