| 非线性分数阶微分方程的近似解迭代序列 |
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| 引用本文： | 术洪亮. 非线性分数阶微分方程的近似解迭代序列[J]. 吉林大学学报(理学版), 2015, 53(6): 1193-1196 |
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| 作者姓名： | 术洪亮 |
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| 作者单位： | 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 考虑一类非线性分数阶微分方程的多点边值问题,通过计算该问题的格林函数,应用增算子不动点定理和单调迭代技巧,得到了该问题正解的存在性及近似解的迭代序列.
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| 关 键 词： | 分数阶微分方程 正解 近似解 迭代序列 |
| 收稿时间： | 2015-07-06 |
Iterative Sequences for Approximating Solutions of Nonlinear Fractional Differential Equations |
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| SHU Hongliang. Iterative Sequences for Approximating Solutions of Nonlinear Fractional Differential Equations[J]. Journal of Jilin University: Sci Ed, 2015, 53(6): 1193-1196 |
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| Authors: | SHU Hongliang |
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| Affiliation: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | We investigated a system of nonlinear fractional differential equations subjecting to multipoint boundary conditions, and figured out the Green’s function. Using the increase operator fixed point theorem and the monotone iteration technique, we obtained the existence of positive solutions and established successively the iterative sequences of approximating solutions. |
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| Keywords: | fractional differential equation positive solution approximating solution iterative sequence |
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