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Positive solutions for a p-Laplacian type system of impulsive fractional boundary value problem
Authors:Dongping Li  Fangqi Chen  Yukun An
Affiliation:Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, People''s Republic of China,Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, People''s Republic of China and Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, People''s Republic of China
Abstract: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.
Keywords:Fractional differential system   p-Laplacian operator   positive solution   variational method.
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