On some new inequalities involving generalized Erd\'elyi-Kober fractional $q$-integral operator

Abstract

In the present investigation, we aim to establish some inequalities involving generalized Erd\'elyi-Kober fractional $q$-integral operator of the two parameters of deformation $q_{1}$ and $q_{2}$ due to Gaulu\'e, by following the same lines used by Baleanu and Agarwal in their recent paper. Relevant connections of the results presented here with those earlier ones are also pointed out.