| 分数阶泛函微分方程解的存在唯一性 |
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| 引用本文： | 张秀云,寇春海. 分数阶泛函微分方程解的存在唯一性[J]. 东华大学学报(自然科学版), 2007, 33(4): 452-454,486 |
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| 作者姓名： | 张秀云 寇春海 |
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| 作者单位： | 东华大学,理学院,上海,201620 |
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| 摘 要： | 讨论了非线性分数阶泛函微分方程的初值问题，运用Schaucler不动点理论，建立了其解的存在性与唯一性的充分条件．
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| 关 键 词： | Riemann-Liouville分数阶导数/积分 分数阶泛函微分方程 唯一性 存在性 |
| 文章编号： | 1671-0444（2007）04-0452-03 |
| 修稿时间： | 2006-05-22 |
Existence and Uniqueness for Nonlinear Fractional Functional Differential Equations |
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| ZHANG Xiu-yun,KOU Chun-hai. Existence and Uniqueness for Nonlinear Fractional Functional Differential Equations[J]. Journal of Donghua University, 2007, 33(4): 452-454,486 |
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| Authors: | ZHANG Xiu-yun KOU Chun-hai |
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| Affiliation: | College of Basic Science, Donghna University, Shanghai 201620, China |
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| Abstract: | We discuss the initial value problems for the nonlinear fractional functional differential equations; by using the Schauder fixed-point theorem, sufficient conditions for the existence and uniqueness of solutions are derived. |
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| Keywords: | Riemann-Liouville fractional derivative/integral fractional functional differential equation uniqueness existence |
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