吉林大学学报(理学版)2017,Vol.55Issue(1):1-6,6.DOI:10.13413/j.cnki.jdxblxb.2017.01.01
用单调迭代方法求解非线性分数阶微分方程
Monotone Iterative Method for Solving Nonlinear Fractional Differential Equations
摘要
Abstract
By using the method of upper and lower solutions and the monotone iterative technique,we solved the initial value problem of a class of nonlinear fractional differential equations by establishing a new comparison principle,and obtained the result of the existence of extremal solutions of the initial problem.关键词
单调迭代/比较原理/极解/非线性分数阶微分方程Key words
monotone iterative/comparison principle/extremal solution/nonlinear fractional differential equation分类
数理科学引用本文复制引用
韩雪,李辉来..用单调迭代方法求解非线性分数阶微分方程[J].吉林大学学报(理学版),2017,55(1):1-6,6.基金项目
国家自然科学基金(批准号:11271154)和吉林省教育厅"十二五"科学技术研究项目(批准号:吉教科合字[2015]第58号). (批准号:11271154)