Existence property of solutions for multi-order q-difference FBVPs based on condensing operators and end-point technique

In this research study, we formulate two generalized nonlinear multi-order fractional boundary value problems with the help of quantum difference operators. To investigate the existence property for possible solutions of these q-difference 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.