吉林大学学报（理学版）2017，Vol.55Issue(4)：853-860,8.DOI:10.13413/j.cnki.jdxblxb.2017.04.15
一类非线性Caputo型分数阶微分方程耦合系统的正解
Positive Solutions of a Coupled System of Nonlinear Caputo Type Fractional Differential Equations
摘要
Abstract
We studied the boundary value problem of a coupled system of a class of nonlinear Caputo type fractional differential equations with integral boundary value conditions by applying Schauder fixed point theorem,Leray-Schauder choice theory and Banach fixed point theorem.We obtained sufficient conditions for the existence and uniqueness of positive solutions of the coupled system,and illustrated the applicability of the theorem by examples.关键词
分数阶微分方程/耦合系统/正解/不动点定理Key words
fractional differential equation/coupled system/positive solution/fixed point theorem分类
数理科学引用本文复制引用
薛益民,苏莹,苏有慧..一类非线性Caputo型分数阶微分方程耦合系统的正解[J].吉林大学学报（理学版）,2017,55(4):853-860,8.基金项目
国家自然科学基金(批准号:11301454)、 国家自然科学基金数学天元基金(批准号:11526177)、 江苏省自然科学基金(批准号:BK20151160)、 江苏省高校自然科学基金(批准号:14KJB110025)、 江苏省六大人才高峰项目(批准号:2013-JY-003)和安徽省教育厅重点项目(批准号:KJ2017A839). （批准号:11301454）
