Abstract
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 Erdelyi-Kober fractional q-integral operator of the two parameters of deformation q1 and 3578 Junesang Choi, Daniele Ritelli and Praveen Agarwal q2 due to Gaulue [12], by following the similar process used by Gaulue [13] and Dumitru and Agarwal [5]. Relevant connections of the results presented here with those earlier ones are also pointed out. Mathematics Subject Classification: Primary 26D10, 26D15; Secondary 26A33, 05A30
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