Momenzadeh, Mohammad2024-07-122024-07-122019Momanzadeh, M. (2019). On a study of new class of q-fractional operator. International Conference of Mathematical Sciences (ICMS 2019). s. 47.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2113New 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.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessq-fractional difference operator(p, q) absolutely continuousFractional integral operatorArticle4747