Generalized Fractional Integral Inequalities for Continuous Random Variables Page 1
Research Article Generalized Fractional Integral Inequalities for Continuous Random Variables …

By introducing new concepts on the probability theory, new integral inequalities are
established for the fractional expectation and the fractional variance for continuous random …

New results and new applications of fractional calculus for continuous random variables are
presented. Some classical integral results are also generalized. On the other hand, some …

In this paper, we establish new integral inequalities for continuous random variables. By
introducing new concepts on fractional moments of continuous random variables, we …

We introduce new normalized fractional integral concepts on random variables. We also
introduce the fractional coupled random variables. The Jensen integral inequality is …

Integral inequalities play a fundamental role in the theory of differential equations, functional
analysis, and applied sciences. Important development in this theory has been achieved in …

The present thesis aims to conduct some studies of the maximum (supremum) operator on:
i.) σ-algebras, ie to define on σ-algebras functions which map the union into the maximum …