Existence and multiplicity of solutions for fractional differential equations with parameters

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• 作者：Rian Yan ; Shurong Sun ; Ying Sun
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：51
• 期：1-2
• 页码：109-125
• 全文大小：449 KB
• 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
• 卷排序：51

文摘

In this paper, we study boundary value problems for the following nonlinear fractional differential equations involving the Caputo fractional derivative $$\begin{aligned}&D^{\alpha }_{0+}u(t)-Mu(t)-\lambda g(t)f(u)=0,\quad t\in [0,1],\nonumber \\&u(0)=\eta u(1),\;\;u'(0)=\gamma u'(1), \end{aligned}$$