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In this research study, we formulate two generalized nonlinear multi-order fractional boundary value problems with the help of quantum diffeerence operators. To investigate the exis- tence property for possible solutions of these q-di_erence FBVPs, we apply two separate methods motivated by some notions in relation to the measure of noncompactness and end-point technique. The condensing functions and multifunctions having the (AE)-property play an important role in our study. As well as, two examples corresponding to both techniques are provided to ensure the compatibility of the findings numerically. [ABSTRACT FROM AUTHOR]