Positive solutions for a fractional boundary value problem with p-Laplacian operator |
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Authors: | Youzheng Ding Zhongli Wei Jiafa Xu |
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Affiliation: | 1. Department of Mathematics, Shandong Jianzhu University, Jinan, Shandong, 250101, China 2. School of Mathematics, Shandong University, Jinan, Shandong, 250100, China
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Abstract: | In this paper, we are mainly concerned with positive solutions for a p-Laplacian fractional boundary value problem. By virtue of Jensen’s inequalities and some new properties of the Green function of the problem, we adopt the Krasnoselskii-Zabreiko fixed point theorem to establish the results of existence and multiplicity of the positive solutions. Finally, a uniqueness theorem is established by using a fixed point theorem of concave operator and an example is given to illustrate the result. |
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