This article presents a new q-analog integral operator, which generalizes the q-Srivastava–Attiya operator. Using this we define family of analytic non-Bazilevi? functions, denoted as Tq,?+1,u?(?,?,M,N). Furthermore, investigate differential subordination properties univalent functions using q-calculus, includes best dominance, subordination, and sandwich-type properties. Our results are proven...