Some new inequalities involving generalized Erdélyi-Kober fractional q-integral operator

During the past four decades and longer, the subject of fractional calculus (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has provided several potentially useful tools for solving differential, integral and integro-differential equations, and various other problems involving special functions of mathematical physics as well as their extensions (q-extensions) and generalizations in one and more variables. Here, in this paper, we aim to establish some new and potentially useful inequalities involving generalized Erdélyi-Kober fractional q-integral operator of the two parameters of deformation q₁ and q₂ due to Gaulué [12], by following the similar process used by Gaulué [13] and Dumitru and Agarwal [5]. Relevant connections of the results presented here with those earlier ones are also pointed out.