The Critical-Point Theory and other mathematical analysis techniques for the boundary value problems are applied for the discussion of the existence and multiplicity of solutions for the Dirichlet boundary value problems for a class of impulsive fractional order differential equations.The sufficient conditions for the existence and multiplicity are obtained.

%U https://zkxb.jsu.edu.cn/EN/10.3969/j.cnki.jdxb.2016.03.004