SOLVABILITY OF DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEMS

• 作者: Chengmin Hou Jianing Xu Xue Gong
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: FRACTIONAL DIFFERENCE boundary value problem COINCIDENCE degree THEORY matrix THEORY
• 年，卷（期）: 2015,（2）
• 页码范围: 225-235
• 页数: 11页
• 分类号: O241.8

摘要

In this paper, by introducing a new approach, we investigate a discrete fractional boundary value problem. We transform a fractional nonlinear difference equation on a finite discrete segment with boundary conditions into a system, and obtain some conditions for the existence of solutions to the equation, based on coincidence degree theory and matrix theory but not on Green’s function.