吉林大学学报(理学版)2016,Vol.54Issue(5):925-929,5.DOI:10.13413/j.cnki.jdxblxb.2016.05.01
一类分数阶微分方程组极解的存在性
Existence of Extremal Solutions for a Class of Fractional Differential Equations
摘要
Abstract
We considered a class of nonlinear fractional differential equations with integral terms,and the corresponding Green’s function of equations was obtained by computing.We used the increasing operator fixed point theorem and the method of upper and lower solutions to prove the existence and uniqueness of extremal solutions of the equation, and gave the display iterative format of the approximate extremal solutions.关键词
分数阶微分方程/边值问题/增算子不动点定理/上下解/极解Key words
fractional differential equation/boundary value problem/increasing operator fixed point theorem/upper and lower solution/extremal solution分类
数理科学引用本文复制引用
王艺霖,李辉来..一类分数阶微分方程组极解的存在性[J].吉林大学学报(理学版),2016,54(5):925-929,5.基金项目
国家自然科学基金(批准号:11271154) (批准号:11271154)