非线性耦合分数阶微分方程组正解的存在性
Existence of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations
戴振祥 1薛益民 1彭钟琪2
作者信息
- 1. 徐州工程学院 数学与物理科学学院,江苏 徐州 221018
- 2. 沈阳工业大学 理学院,辽宁 沈阳 110870
- 折叠
摘要
利用格林函数的性质和 Guo-Krasnosel'skii's 不动点定理,研究一类非线性 Riemann-Liouville型分数阶微分方程耦合方程组边值问题,得到了该方程组正解存在的充分条件,并举例说明所得结论的适用性.
Abstract
This study employs the properties of Green's function and the fixed point theorem of Guo-Krasnosel'skii's to investigate the existence of positive solutions for a coupled system of nonlinear Riemann-Liouville type fractional differential equations.Two sufficient conditions for positive solutions of the coupled system were obtained,and the applicability of the results was demonstrated through two illustrative examples.
关键词
耦合分数阶微分方程组/边值问题/正解/不动点定理Key words
coupled system of fractional differential equations/boundary value problem/positive solution/fixed point theorem引用本文复制引用
基金项目
国家自然科学基金项目(12071408)
徐州工程学院项目(202224)
徐州工程学院项目(202227)
出版年
2024
国家科技期刊平台
NSTL
万方数据