Weighted Inequalities Involving Conformable Integrals and Its Applications for Random Variable and Numerical Integration

Abstract

We establish new weighted inequalities for conformable integrals and derivatives. Then, some results involving alpha-fractional moments are presented. Next, alpha-fractional Uniform, Gamma and Weibull distribution are defined and exclusive results by using these inequalities developed are obtained. Also, some applications of obtained inequalities in numerical integration are given.