Positive solution for higher-order singular infinite-point fractional differential equation with p-Laplacian

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• 作者：Qiuyan Zhong ; Xingqiu Zhang
• 关键词：26A33 ; 34B15 ; 34B16 ; fractional differential equations ; p ; Laplacian ; singularity ; upper and lower solutions ; positive solution
• 刊名：Advances in Difference Equations
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,446 KB
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• 作者单位：Qiuyan Zhong (1)
  Xingqiu Zhang (1) (2)
  
  1. Department of Information Engineering, Jining Medical College, Jining, Shandong, 272067, P.R. China
  2. School of Mathematics, Liaocheng University, Liaocheng, Shandong, 252059, P.R. China
  
• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

By means of the method of upper and lower solutions together with the Schauder fixed point theorem, the conditions for the existence of at least one positive solution are established for some higher-order singular infinite-point fractional differential equation with p-Laplacian. The nonlinear term may be singular with respect to both the time and the space variables. Keywords fractional differential equations p-Laplacian singularity upper and lower solutions positive solution