On a nonlinear sequential four-point fractional q-difference equation involving q-integral operators in boundary conditions along with stability criteria

Abstract In this paper, we consider a nonlinear sequential q -difference equation based on the Caputo fractional quantum derivatives with nonlocal boundary value conditions containing Riemann–Liouville integrals in four points. direction, derive some criteria and of existence uniqueness solutions to given problem. Some pure techniques condensing operators Sadovskii’s measure eigenvalue an operator are employed prove main results. Also, Ulam–Hyers stability generalized investigated. We examine our results by providing two illustrative examples.