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By establishing the corresponding variational framework and using the mountain pass theorem, linking theorem, and Clark theorem in critical point theory, we give the existence of multiple solutions for a fractional difference boundary value problem with parameter. Under some suitable assumptions, we obtain some results which ensure the existence of a well precise interval ofparameter for which the problem admits multiple solutions. Some examples are presented to illustrate the main results

Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach