Nonlinear Multi-term Impulsive Fractional q -Difference Equations with Closed Boundary Conditions

We introduce and study a new class of nonlinear multi-term impulsive fractional q -difference equations supplemented with nonlocal boundary conditions. The classical fixed point theorems are applied to show the existence and uniqueness of solutions to the given problem. Examples are presented for illustrating the abstract results. Several new results appear as special cases of the ones presented in this article.