吉林大学学报(理学版)2018,Vol.56Issue(2):197-202,6.DOI:10.13413/j.cnki.jdxblxb.2018.02.02
带积分边值条件的分数阶微分方程解的存在性
Existence of Solutions for Fractional Differential Equation with Integral Boundary Value Condition
摘要
Abstract
By using the Banach contraction mapping principle and the Schauder's fixed point theorem, we discussed a fractional differential equation with a class of nonlinear terms depending upon fractional derivative of lower order under fractional integral boundary condition,proved the existence and uniqueness of its solution,and gave some application examples.关键词
分数阶导数/分数阶积分/边值问题/不动点定理Key words
fractional derivative/fractional integral/boundary value problem/fixed point theorem分类
数理科学引用本文复制引用
杨帅,张淑琴,王利平..带积分边值条件的分数阶微分方程解的存在性[J].吉林大学学报(理学版),2018,56(2):197-202,6.基金项目
国家自然科学基金(批准号:11371364). (批准号:11371364)