安徽大学学报（自然科学版）2026，Vol.50Issue(3)：16-22,7.DOI:10.3969/j.issn.1000-2162.2026.03.003
有序Banach空间非线性分数阶微分方程边值问题的正解
Positive solutions to boundary value problems of nonlinear fractional differential equations in ordered Banach spaces
摘要
Abstract
The existence of positive solutions to the boundary value problem of nonlinear fractional differential equation in ordered Banach spaces was discussed.First,the boundedness of the solution operators for linear fractional differential equations was estimated.Then,by constructing a special cone,with the nonlinear term satisfying a more general order condition,an existence result of positive solutions was obtained by employing a estimate of noncompactness measure and the fixed point indextheory of condensing mapping.关键词
Banach空间/分数阶边值问题/正解/凝聚映射/不动点指数Key words
Banach space/fractional boundary value problem/positive solution/condensing mapping/fixed point index分类
数理科学引用本文复制引用
李小龙,邵旭馗..有序Banach空间非线性分数阶微分方程边值问题的正解[J].安徽大学学报（自然科学版）,2026,50(3):16-22,7.基金项目
国家自然科学基金资助项目(11561038) （11561038）
甘肃省自然科学基金资助项目(21JR1RM337,22JR11RM165) （21JR1RM337,22JR11RM165）
甘肃省高等学校创新基金资助项目(2021B-270,2021B-262) （2021B-270,2021B-262）
