| 一类分数阶微分方程反周期边值问题解的存在性 |
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| 引用本文： | 朱晓慧.一类分数阶微分方程反周期边值问题解的存在性[J].金陵科技学院学报,2011,27(3):7-9. |
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| 作者姓名： | 朱晓慧 |
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| 作者单位： | 徐州经贸高等职业学校,江苏徐州,221004 |
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| 摘 要： | 讨论一类非线性分数阶反周期边值问题解存在性情况,通过构造反周期问题等价积分方程,利用B anach空间不动点定理和Schaeffor定理分别给出了反周期边值问题解存在唯一性和至少存在一解的充分条件。
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| 关 键 词： | 分数阶微分方程 反周期边值问题 不动点定理 |
Existence Results for Anti-periodic Boundary Value Problems Involving Fractional Differential Equations |
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| ZHU Xiao-hui.Existence Results for Anti-periodic Boundary Value Problems Involving Fractional Differential Equations[J].Journal of Jinling Institute of Technology,2011,27(3):7-9. |
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| Authors: | ZHU Xiao-hui |
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| Institution: | ZHU Xiao-hui(Xuzhou Higher Vocational School of Economics and Trade,Xuzhou 221004,China) |
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| Abstract: | This paper explores the existence results for anti-periodic boundary value problems involving nonlinear fractional differential equations.With the integral equations and based on Banach's space fixed point theorem and Schaeffor's theorem,the uniqueness of existence and sufficient conditions for at least one solution for anti-periodic boundary value problems are obtained. |
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| Keywords: | fractional differential equations anti-periodic boundary value problems fixed point theorem |
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