| 一类非线性分数阶微分方程多重正解存在的充分条件 |
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| 引用本文： | 王枫,葛琦.一类非线性分数阶微分方程多重正解存在的充分条件[J].延边大学理工学报,2022,0(3):189-195. |
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| 作者姓名： | 王枫 葛琦 |
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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： | 研究了一类非线性分数阶微分方程边值问题的多重正解存在性.首先分析了方程格林函数的性质,然后利用Guo - Krasnosel'skii不动点定理得到了当系数μ(t)满足不同条件时,该边值问题至少存在1个正解和至少存在2个正解的充分条件.
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| 关 键 词： | 分数阶微分 多重正解 黎曼刘维尔型分数阶导数 格林函数 Guo - Krasnosel'skii不动点定理 |
Sufficient conditions for the existence of multiple positive solutions of a class of nonlinear fractional differential equations |
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| WANG Feng,GE Qi.Sufficient conditions for the existence of multiple positive solutions of a class of nonlinear fractional differential equations[J].Journal of Yanbian University (Natural Science),2022,0(3):189-195. |
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| Authors: | WANG Feng GE Qi |
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| Affiliation: | (College of Science, Yanbian University, Yanji 133002, China) |
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| Abstract: | Abstract: The existence of multiple positive solutions for a class of boundary value problems of nonlinear fractional differential equations is studied.Firstly, the properties of the Green's function of the equation are analyzed, and then the sufficient conditions for the existence of at least one positive solution and at least two positive solutions of the boundary value problem are obtained by using Guo - Krasnosel'skii fixed point theorem when the coefficient μ(t)satisfies different conditions. |
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| Keywords: | fractional differential multiple positive solutions Riemann Liouville type fractional derivative Green's function Guo - Krasnosel'skii fixed point theorem |
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