  This study is an example of a solid connection between fractional analysis
and inequality theory, and includes new inequalities of the P\'{o}lya-Szeg%
\"{o}-Chebyshev type obtained with the help of Generalized Proportional
Fractional integral operators. The results have been performed by using
Generalized Proportional Fractional integral operators, some classical
inequalities such as AM-GM inequality, Cauchy-Schwarz inequality and Taylor
series expansion of exponential function. The findings give new approaches to
some types of inequalities that have involving the product of two functions in
inequality theory.
