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In this paper, we study the existence of at least three distinct
solutions for a class of impulsive fractional boundary value
problems with $p$-Laplacian with Dirichlet boundary conditions.
Our approach is based on recent variational methods for smooth
functionals defined on reflexive Banach spaces. One example is
presented to demonstrate the application of our main results.

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The existence of infinitely many solutions for a class of impulsive
fractional boundary value problems is established.
Our approach is based on recent variational methods for smooth
functionals defined on reflexive Banach spaces. Some recent results are extended and improved. One example is
given in this paper to illustrate the main results.