Existence and uniqueness results for a nonlocal q-fractional integral boundary value problem of sequential orders

In this paper, we discuss the existence of solutions for a new boundary value problem of non-linear q-fractional integral equations involving fractional orders 0 < beta <= 1, 1 < beta <= 2 and nonlocal q-integral boundary conditions. Our results rely on classical tools of fixed point theory. We demonstrate the application of our work with the aid of an example.