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SOLVABILITY OF DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEMS

SOLVABILITY OF DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEMS
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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. 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.
机构地区 Dept. of Math.
出处 《Annals of Differential Equations》 2015年第2期225-235,共11页 微分方程年刊(英文版)
基金 supported by the National Natural Science Foundation of China(11161049)
关键词 fractional difference boundary value problem coincidence degree theory matrix theory fractional difference boundary value problem coincidence degree theory matrix theory
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参考文献16

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