郑州大学学报(理学版)2017,Vol.49Issue(2):1-6,6.DOI:10.13705/j.issn.1671-6841.2016287
Caputo型分数阶微分方程边值问题解的存在唯一性
Existence and Uniqueness of Solutions of Boundary Value Problemfor a Caputo-type Fractional Differential Equation
摘要
Abstract
The existence and uniquness of solutions of boundary value problem for a Caputo-type fractional differential equation were investigated.By transforming the boundary value problem into an equivalent Fredholm integral equation, and employing fixed point theorem in a Banach space, the existence and uniqueness of the solutions of the integral equation was proved.关键词
Caputo型分数阶微分方程/边值问题/Fredholm积分方程/不动点Key words
Caputo-type fractional differential equation/boundary value problem/Fredholm integral equation/fixed point分类
数理科学引用本文复制引用
杨帅,张淑琴..Caputo型分数阶微分方程边值问题解的存在唯一性[J].郑州大学学报(理学版),2017,49(2):1-6,6.基金项目
国家自然科学基金项目(11371364). (11371364)