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,2021,47(02):95-100.
一类Hadamard型分数阶微分方程解的存在唯一性
- Title:
- The existence and uniqueness of the solutions of a class of Hadamard type fractional differential equations
- 文章编号:
- 1004-4353(2021)02-0095-06
- 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
- Keywords:
- Hadamard type fractional differential equation; Green's function; mixed monotone operator; fixed point theorem; existence and uniqueness
- 分类号:
- O175.4
- 文献标志码:
- A
- 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.
- 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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备注/Memo
收稿日期: 2020-12-21 基金项目: 吉林省教育厅“十三五”科学技术研究项目(JJKH20170454KJ)
*通信作者: 侯成敏(1963—),女,教授,研究方向为微分理论及其应用.