Existence of Solutions for Discrete Fractional Boundary Value Problems with p-Laplacian Operator

Abstract:

      By establishing the corresponding variational framework, and using the critical points theorem, we give the existence of multiple solutions for a fractional difference boundary value problem with $p$-Laplacian operator. Under some suitable assumptions we obtain the existence of a positive parameter such that the problem admits at least three solutions. Some examples are presented to illustrate the main results.