Fractional
q
-Integral Operators for the Product of a
q
-Polynomial and
q
-Analogue of the
I
-Functions and Their Applications
Keyword(s):
In this article, we derive four theorems concerning the fractional integral image for the product of the q -analogue of general class of polynomials with the q -analogue of the I -functions. To illustrate our main results, we use q -fractional integrals of Erdélyi–Kober type and generalized Weyl type fractional operators. The study concludes with a variety of results that can be obtained by using the relationship between the Erdélyi–Kober type and the Riemann–Liouville q -fractional integrals, as well as the relationship between the generalized Weyl type and the Weyl type q -fractional integrals.
1995 ◽
Vol 193
(2)
◽
pp. 373-389
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1990 ◽
Vol 148
(1)
◽
pp. 87-100
◽
2015 ◽
Vol 93
(8)
◽
pp. 1320-1329
◽
1989 ◽
Vol 112
(3-4)
◽
pp. 237-247
◽