| 分数阶微分方程的初值问题解的唯一性探讨 |
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| 引用本文： | 彭大力,赵俊华.分数阶微分方程的初值问题解的唯一性探讨[J].太原师范学院学报(自然科学版),2012,11(2):27-29. |
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| 作者姓名： | 彭大力 赵俊华 |
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| 作者单位： | 1. 山西青年职业学院,山西太原,030001
2. 太原师范学院数学系,山西太原,030012 |
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| 摘 要： | 利用不动点定理,探讨了非线性分数阶微分方程的初值问题解的唯一性,其中微分方程的阶数α为区间（2,3]的任意实数,导数形式为Riemann-Liouville型导数.
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| 关 键 词： | Riemann-Liouville型导数 分数阶 不动点 唯一性 |
Uniqueness of Solution for Fractional Differential Equation of Initial Value Problem |
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| Peng Dali,Zhao Junhua.Uniqueness of Solution for Fractional Differential Equation of Initial Value Problem[J].Journal of Taiyuan Normal University:Natural Science Edition,2012,11(2):27-29. |
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| Authors: | Peng Dali Zhao Junhua |
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| Affiliation: | 1.Shanxi Youth Vocational College,Taiyuan 030001; 2.Department of Mathematics,Taiyuan Normal University,Taiyuan 030012,China) |
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| Abstract: | The initial problem for nonlinear fractional differential equation with order α∈(2,3]and Riemann-Liouville fractional derivative was discussed,employing fixed point theorem. |
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| Keywords: | Riemann-Liouville differentiation fractional order fixed point existence |
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