Study of new class of q-fractional integral operator

Mohammad Momenzadeh; Nazim Mahmudov

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arXiv · 1904.11724

Study of new class of q-fractional integral operator

Mohammad Momenzadeh·Nazim Mahmudov

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Abstract

We study the new class of q-fractional integral operator. In the aid of iterated Cauchy integral approach to fractional integral operator, we applied t^pf(t) instead of f(t) in these integrals and with parameter p a new class of q-fractional integral operator is introduced. Recently the q-analogue of fractional differential integral operator is studied.[8][4][9][10][13][14]All of these operators are q-analogue of Riemann fractional differential operator. The new class of introduced operator generalize all these defined operator and can be cover the q-analogue of Hadamard fractional differential operator. Some properties of this operator is investigated.

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Mohammad Momenzadeh, Nazim Mahmudov. 2019-04-26. Study of new class of q-fractional integral operator. https://arxiv.org/abs/1904.11724

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