| 一类Hadamard型分数阶微分方程解的存在唯一性 |
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| 引用本文： | 甘亦苗,侯成敏.一类Hadamard型分数阶微分方程解的存在唯一性[J].延边大学理工学报,2021,0(2):95-100. |
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| 作者姓名： | 甘亦苗 侯成敏 |
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| 作者单位： | (延边大学 理学院, 吉林 延吉 133002) |
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| 摘 要： | 利用格林函数的性质和锥上不动点定理讨论了一类Hadamard型分数阶微分方程(非线性项包含分数阶导数和一个减算子)的正解,得到了该分数阶微分方程正解的存在唯一性.
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| 关 键 词： | Hadamard型分数阶微分方程 格林函数 混合单调算子 不动点定理 存在唯一性 |
The existence and uniqueness of the solutions of a class of Hadamard type fractional differential equations |
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| GAN Yimiao,HOU Chengmin.The existence and uniqueness of the solutions of a class of Hadamard type fractional differential equations[J].Journal of Yanbian University (Natural Science),2021,0(2):95-100. |
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| Authors: | GAN Yimiao HOU Chengmin |
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| Affiliation: | (College of Science, Yanbian University, Yanji 133002, China) |
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| Abstract: | Using the properties of Green's function and the fixed point theorem on the cone, the positive solutions of a class of Hadamard type fractional differential equations(the nonlinear term includes fractional derivatives and a subtraction operator)are discussed, and the existence and uniqueness of positive solutions of the fractional differential equations is obtained. |
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| Keywords: | Hadamard type fractional differential equation Green's function mixed monotone operator fixed point theorem existence and uniqueness |
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