摘要
研究非线性分数阶微分方程边值问题。利用带有扰动的混合单调算子不动点定理,证明其正解的存在唯一性,同时构造一迭代序列去逼近该正解。举例应用了所得的主要结果。
This paper is concerned with the existence and uniqueness of positive solutions for boundary value problem of nonlinear fractional differential equations. By using new fixed point theorem for mixed monotone operator with perturbation, the existence and u- niqueness of its positive solution is proved,and an iterative scheme is constructed to approximate it. Finally, the example is given to il- lustrate the application of the main result.
出处
《西华大学学报（自然科学版）》
CAS
2014年第4期44-48,共5页
Journal of Xihua University:Natural Science Edition
基金
四川省教育厅2014年度一般项目(14ZB0309)
四川文理学院校级科研项目(2012Z004Z)
关键词
分数阶微分方程
边值问题
正解
存在唯一性
混合单调算子
不动点定理
fractional differential equation
boundary value problem
positive solution
existence and uniqueness
mixed monotoneoperator
fixed point theorem
