Solvabilitv For Two Kinds Of Impulsive Fractional P-laplacian Differential Equations Boundary Value Problem

This paper defines a new norm which is equal to the before one in the fractional Sobolev space,and based on the work space,we establish the energy functional for a kind of impulsive fractional p-Laplacian differential equations boundary value problem.Accordingly,we can obtain the existence and multiplicity of solutions for the fractional p-Laplacian differential equations boundary value problems.Under given conditions,we extent our conclusions to the high dimensional impulsive fractional p-Laplacian differential equations boundary value problem.Not only this,some examples are given to illustrate the effectiveness and rationality of our results.The results we obtained extend some of the existing research results and extend the application range of the critical point theory in the study of fractional p-Laplacian differential equations boundary value problem.