Kuratowski MNC method on a generalized fractional Caputo Sturm–Liouville–Langevin q-difference problem with generalized Ulam–Hyers stability

Abstract In this work, we consider a generalized quantum fractional Sturm–Liouville–Langevin difference problem with terminal boundary conditions. The relevant results rely on Mönch’s fixed point theorem along theoretical method by terms of Kuratowski measure noncompactness (MNC) and the Banach contraction principle (BCP). Furthermore, two dynamical notions Ulam–Hyers (UH) (GUH) stability are addressed for solutions supposed value ( q -FBVP). Two examples presented to show validity also effectiveness results. last part paper, conclude our exposition some final remarks observations.