On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function

The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q), Kv(x; q),Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-integral operator have been deduced as special cases of the main result. 2000 Mathematics Subject Classification: 33D60, 26A33, 33C60