Study of new class of q-fractional integral operator
Keyword(s):
In this paper, we study on the new class of q-fractional integral operator. In the aid of iterated Cauchy integral approach to fractional integral operator, we applied tp f(t) in these integrals and a new class of q-fractional integral operator with parameter p, is introduced. Recently, the q-analogue of fractional differential integral operator is studied and all of the operators defined in these studies are q-analogue of Riemann fractional differential operator. We show that our new class of operator generalize all the operators in use, and additionally, it can cover the q-analogue of Hadamard fractional differential operator, as well. Some properties of this operator are investigated.
2014 ◽
Vol 34
(5)
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pp. 1417-1426
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1979 ◽
Vol 72
(2)
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pp. 674-702
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2021 ◽
Vol 500
(1)
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pp. 125169
2020 ◽
Vol 23
(2)
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pp. 553-570
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