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

作　　者：王艺霖[1] 李辉来[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2016年第5期925-929,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11271154)

摘　　要：考虑一类具有积分项的非线性分数阶微分方程组,通过计算得到了该方程组对应的格林函数,并应用增算子不动点定理和上下解方法,证明了该方程组极解的存在唯一性,给出了近似极解的显示迭代格式.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 

分 类 号：O175.6[理学—数学]