有序Banach空间非线性分数阶微分方程边值问题的正解OA
Positive solutions to boundary value problems of nonlinear fractional differential equations in ordered Banach spaces
讨论了有序Banach空间非线性分数阶微分方程边值问题正解的存在性.先估计了线性分数阶微分方程解算子的有界性.接着通过构造一个特殊的锥,在非线性项满足较一般的序条件下利用非紧性测度的估计技巧与凝聚映射的不动点指数理论,获得了该边值问题正解的存在性结果.
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.
李小龙;邵旭馗
陇东学院数学与信息工程学院,甘肃庆阳 745000陇东学院数学与信息工程学院,甘肃庆阳 745000
数理科学
Banach空间分数阶边值问题正解凝聚映射不动点指数
Banach spacefractional boundary value problempositive solutioncondensing mappingfixed point index
《安徽大学学报（自然科学版）》 2026 (3)
16-22,7
国家自然科学基金资助项目(11561038)甘肃省自然科学基金资助项目(21JR1RM337,22JR11RM165)甘肃省高等学校创新基金资助项目(2021B-270,2021B-262)
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