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Yayın On a study of new class of q-fractional operator(Maltepe Üniversitesi, 2019) Momenzadeh, MohammadNew class of q-fractional integral operator is introduced by using iterated Cauchy integral on Jackson integral. It is shown that our new class of operator unify all q-fractional integral operators and q-analogue of Hadamard integral operator is investigated. Semi group properties of integral operator is studied and corresponding q-fractional derivative operator is introduced.