Study of new class of q-fractional integral operator

2019/04/26 by Momenzadeh, Mohammad, Mahmudov, Nazim
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1904.11724

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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