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In this paper, the aim is to discuss a class of p-Laplacian type fractional Dirichlet’s boundary value problem involving impulsive impacts. Based on the approaches of variational method and the properties of fractional derivatives on the reflexive Banach spaces, the existence results of positive solutions for our equations are established. Two examples are given at the end of each main result.

journal of applied analysis and computation

POSITIVE SOLUTIONS FOR A &lt;i&gt;P&lt;/i&gt;-LAPLACIAN TYPE SYSTEM OF IMPULSIVE FRACTIONAL BOUNDARY VALUE PROBLEM&lt;inline-formula&gt;&lt;tex-math id="M1"&gt;$ ^* $&lt;/tex-math&gt;&lt;/inline-formula&gt;