Existence of positive solution to boundary value problem of fractional differential equations with \(p\) -Laplacian operator

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• 作者：Yuansheng Tian (1)
  Xiaoping Li (1)
  
  1. Department of Mathematics ; Xiangnan University ; Hunan ; 423000 ; Chenzhou ; People鈥檚 Republic of China
  
• 关键词：Fractional differential equation ; Boundary value problem ; $$p$$ p ; Laplacian operator ; Positive solution ; 34B15 ; 34B18
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：47
• 期：1-2
• 页码：237-248
• 全文大小：170 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Computational Mathematics and Numerical Analysis
  Applied Mathematics and Computational Methods of Engineering
  Theory of Computation
  Mathematics of Computing
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1865-2085

文摘

In this paper, we study the existence of positive solution to boundary value problem of fractional differential equations with \(p\) -Laplacian operator. By using some fixed-point theorems on a convex cone, the new existence results of positive solution are obtained. In addition, an example is included to demonstrate the main result.