| 分数阶微分方程初值问题局部解的存在性 |
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| 引用本文： | 沙婵娟. 分数阶微分方程初值问题局部解的存在性[J]. 太原师范学院学报(自然科学版), 2012, 11(1): 63-64 |
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| 作者姓名： | 沙婵娟 |
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| 作者单位： | 山西大学工程学院,太原,030013 |
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| 摘 要： | 文章探讨了分数阶微分方程的初值问题的解,其中微分方程的阶数为区间上的任意实数,导数为Caputo型导数.我们以不等式的基本理论探讨,来证明该方程局部解的存在性.
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| 关 键 词： | 分数阶微分方程 初值问题 局部解 存在性 |
The Existence Result of Local Solution for Fractional Initial Value Ploblem |
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| Sha Chanjuan. The Existence Result of Local Solution for Fractional Initial Value Ploblem[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 11(1): 63-64 |
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| Authors: | Sha Chanjuan |
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| Affiliation: | Sha Chanjuan(Engineering College,Shanxi University,Taiyuan 030013,China) |
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| Abstract: | The existence result of local solution for fractional initial value problem Dα0,tx(t)=f(t,x(t))(3<α<4)involving Caputo differential operators is discussed,started with the fundamental theory of inequalities.And then as application of Ascoli-Arzela′s theorem,the local existence result is proved. |
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| Keywords: | fractional differential equations initial value problem local solution existence |
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