On a fractional boundary value problem with fractional boundary conditions

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• 作者：Christopher S. Goodrich ; ^{s-cgoodri4@math.unl.edu}
• 关键词：Discrete fractional calculus ; Boundary value problem ; Nonlocal boundary conditions ; Fractional boundary condition ; Green&rsquo ; s function
• 刊名：Applied Mathematics Letters
• 出版年：2012
• 期刊代码：5_08939659
• 类别：mt
• 出版时间：August, 2012
• 卷：25
• 期：8
• 页码：1101-1105
• 文件大小：210 K

摘要

In this paper, we consider a discrete fractional boundary value problem, for , of the form , , , where is continuous, , and . We prove that this problem can be interpreted as a discrete multipoint problem. We also show that the problem is a generalization of some recent results. Our results provide some basic analysis of discrete fractional boundary conditions.