吉林大学学报（理学版）2018，Vol.56Issue(3)：481-490,10.DOI:10.13413/j.cnki.jdxblxb.2018.03.03
奇异分数阶微分方程积分边值问题正解的存在性
Existence of Positive Solutions for Integral Boundary Value Problems of Singular Fractional Differential Equations
摘要
Abstract
We considered the Caputo fractional differential equation with Riemann-Stieltjes integral boundary condition . We established the existence theorems of positive solutions for the integral boundary value problem of fractional differential equations under the condition of allowing the singularity of the nonlinear term , and proved the existence theorem by using mixed monotone operator method and fixed point theorem on semi-ordered set .Some examples show the applicability of the conclusion .关键词
Caputo型分数阶微分方程/Riemann-Stieltjes积分/边值问题/混合单调算子/正解/奇异/不动点定理Key words
Caputo fractional differential equation/Riemann-Stieltjes integral/boundary value problem/mixed monotone operator/positive solution/singular/fixed point theorem分类
数理科学引用本文复制引用
陈豪亮,刘锡平,张潇涵..奇异分数阶微分方程积分边值问题正解的存在性[J].吉林大学学报（理学版）,2018,56(3):481-490,10.基金项目
国家自然科学基金(批准号:11171220)和沪江基金(批准号:B14005). （批准号:11171220）
