This study focused on boundary value problems involving fractional -difference inclusions subject to nonlinear -integral conditions:
By applying appropriate fixed point theorems, we established the existence of solutions to the problem considered. In addition, a Filippov-type result was provided. This work continued the study recently presented in [N. Allouch, J. R. Graef, S. Hamani, Boundary value problem for fractional -difference equations with integral conditions in Banach spaces, Fractal Fract., 6 (2022), 237].