Geodesic
On Generalized Weyl Fractional q-Integral Operator Involving Generalized Basic Hypergeometric Functions
Fractional calculus and applied analysis, Tome 11 (2008) no. 2, pp. 129-142.

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Fractional q-integral operators of generalized Weyl type, involving generalized basic hypergeometric functions and a basic analogue of Fox’s H-function have been investigated. A number of integrals involving various q-functions have been evaluated as applications of the main results.
Keywords: Generalized Weyl Fractional q-Integral Operator, Basic Integration, Generalized Basic Hypergeometric Functions, Basic Analogue of Fox's H-Function, 33D60, 33D90, 26A33 
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Yadav, R.; Purohit, S.; Kalla, S. On Generalized Weyl Fractional q-Integral Operator Involving Generalized Basic Hypergeometric Functions. Fractional calculus and applied analysis, Tome 11 (2008) no. 2, pp. 129-142. http://geodesic.mathdoc.fr/item/FCAA_2008_11_2_a0/