Existence of Extremal Solutions for a Nonlinear Fractional q-Difference System

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• 作者：Min Jiang ; Shouming Zhong
• 关键词：34A08 ; 34B18 ; 34A13 ; Fractional q ; difference equations ; Boundary value problems ; p ; Laplacian operator ; Existence of solutions
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：13
• 期：1
• 页码：279-299
• 全文大小：627 KB
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• 作者单位：Min Jiang (1)
  Shouming Zhong (1)
  
  1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, People’s Republic of China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1660-5454

文摘

In this paper, we study the boundary value problem of a fractional q-difference system with nonlocal integral boundary conditions involving the fractional q-derivatives of the Riemann–Liouville type. Using the properties of the Green function, and monotone iterative method, the extremal solutions were obtained. Finally, an example is presented to illustrate our main results. Keywords Fractional q-difference equations Boundary value problems p-Laplacian operator Existence of solutions