| 分数阶微分方程的初值问题解的存在性 |
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| 引用本文： | 王新年,米芳,王小春.分数阶微分方程的初值问题解的存在性[J].太原重型机械学院学报,2011(2):135-137. |
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| 作者姓名： | 王新年 米芳 王小春 |
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| 作者单位： | 太原师范学院数学系,太原030012 |
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| 摘 要： | 利用Schauder不动点定理，探讨了非线性分数阶微分方程D0^alx（t）=f（t，x（t））的初值问题，其中微分方程的阶数d为区间（2，3]的任意实数，导数形式为Riemann-Liouville型导数。给出了该方程的右端函数f（t,x（t）满足Perron条件，证明了其解的存在性。
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| 关 键 词： | Riemann—Liouville型导数 perron条件 存在性 |
Existence of Solution for Fractional Differential Equation of Initial Value Problem |
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| WANG Xin-nian,MI Fang,WANG Xiao-chun.Existence of Solution for Fractional Differential Equation of Initial Value Problem[J].Journal of Taiyuan Heavy Machinery Institute,2011(2):135-137. |
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| Authors: | WANG Xin-nian MI Fang WANG Xiao-chun |
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| Affiliation: | ( Department of Mathematics, Taiyuan Normal University, Taiyuan 030012, China) |
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| Abstract: | In this note, the initial problem for nonlinear fractional differential equation with order a∈ （2,3 ] and Riemann-Liouville fractional derivative was discussed by employing Schauder fixed theorem. The sufficient conditions for the existence of solutions are derived. |
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| Keywords: | Riemann-Liouville differentiation perron condition existence |
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