吉林大学学报（理学版）2017，Vol.55Issue(2)：230-234,5.DOI:10.13413/j.cnki.jdxblxb.2017.02.08
分数阶非线性微分方程初值问题的上下解方法
Method of Upper and Lower Solution for Initial Value Problem of Nonlinear Fractional Order Differential Equation
摘要
Abstract
Using the method of lower and upper solution,we considered the solvability for initial value problem of a class of nonlinear fractional order differential equation {xα(t)=f(t,x(t)), t∈[a,b], a>0 ,x(a)=x0 . Based on Schauder fixed point theorem,we obtained the existence of one solution between the upper and lower solution.Where f:[a,b]×?→? is continuous function,x(α)(t)denotes the conformable fractional derivative of x at t of order α,α∈(0,1].关键词
初值问题/分数阶导数/可解性/上下解方法Key words
initial value problem/fractionl order derivative/solvability/method of lower and upper solution分类
数理科学引用本文复制引用
杨小娟,韩晓玲..分数阶非线性微分方程初值问题的上下解方法[J].吉林大学学报（理学版）,2017,55(2):230-234,5.基金项目
国家自然科学基金(批准号:11561063). （批准号:11561063）
