In this research work, we discuss the existence of solutions for a sequential generalized nonlinear Hilfer fractional q-differential inclusions with multi-point boundary conditions. Both cases of convex valued and nonconvex valued right-hand side are considered. Our obtained results are recent in the frame of a generalized nonlinear Hilfer fractional q-derivative with multi-point boundary conditions via the fixed point theorems for set-valued analysis. Some pertinent examples demonstrating the effectiveness of the theoretical results are presented with numerical method.
