| 一类分数阶泛函差分边值问题解的存在性 |
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| 引用本文： | 吴双,慎闯,侯成敏. 一类分数阶泛函差分边值问题解的存在性[J]. 延边大学学报(自然科学版), 2014, 0(1): 11-14 |
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| 作者姓名： | 吴双 慎闯 侯成敏 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉133002 |
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| 基金项目： | 国家自然科学基金资助项目（11161049） |
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| 摘 要： | 研究了一类离散分数阶边值问题解的存在性.首先给出了该问题的解的表达式,再根据解的表达式定义一个算子,通过运用已知定理证明了此类边值问题解的存在性,然后将所得结论推广到高阶分数阶方程边值问题.
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| 关 键 词： | 分数阶泛函差分方程 边值问题 不动点 |
The existence of solution for a class of fractional functional difference boundary value problem |
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| WU Shuang,SHEN Chuang,HOU Chengmin. The existence of solution for a class of fractional functional difference boundary value problem[J]. Journal of Yanbian University (Natural Science), 2014, 0(1): 11-14 |
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| Authors: | WU Shuang SHEN Chuang HOU Chengmin |
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| Affiliation: | ( Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China ) |
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| Abstract: | We consider the existence of the solution for a class of discrete fractional boundary value problem . First we present the expressions of its solutions ,and we define an operator by using the expression .Next we prove the existence of solutions for such boundary value problems by applying given theorem ,and generalize the conclusion to higher order boundary value problems . |
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| Keywords: | fractional functional difference equation boundary value problem fixed point |
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