| 分数阶微分方程初值问题极解的存在性 |
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| 引用本文： | 沙婵娟.分数阶微分方程初值问题极解的存在性[J].贵州师范大学学报(自然科学版),2011,29(4):62-64. |
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| 作者姓名： | 沙婵娟 |
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| 作者单位： | 太原电力高等专科学校,山西太原,030013 |
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| 摘 要： | 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开始探讨，然后应用Ascoli—Arzela定理证明该方程极解的存在性，最后我们给出比较定理．
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| 关 键 词： | 分数阶微分方程 初值问题 极解 比较定理 |
The existence result of extremal solution for fractional initial value ploblem |
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| SHA Chan-juan.The existence result of extremal solution for fractional initial value ploblem[J].Journal of Guizhou Normal University(Natural Sciences),2011,29(4):62-64. |
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| Authors: | SHA Chan-juan |
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| Institution: | SHA Chan-juan (Taiyuan Electric Power College,Taiyuan,Shanxi 030013,China) |
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| Abstract: | In this paper,The existence result of extremal solution for fractional initial value ploblem is solved.We began to explore the basic theory of inequality,and then apply Ascoli-Arzela theorem proving the existence of solutions of the equation very nature,and finally we give the comparison theorem. |
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| Keywords: | fractional differential equations initial value problem extremal solution comparison theorem |
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