具有测度积分边界条件的非线性Hadamard分数阶微分方程的正解  

Positive solutions of nonlinear Hadamard fractional differential equations with measured integral boundary conditions

作　　者：杨尊凯 顾海波[1] 李宁 孙会贤 田春平 YANG Zunkai;GU Haibo;LI Ning;SUN Huixian;TIAN Chunping(College of Mathematical Sciences,Xinjiang Normal University,Urumqi 830017,China)

机构地区：[1]新疆师范大学数学科学学院,乌鲁木齐830017

出　　处：《黑龙江大学自然科学学报》2022年第2期143-154,共12页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11961069);新疆优秀青年科技人才培训计划项目(2019Q022);新疆维吾尔自治区自然科学基金资助项目(2019D01A71);新疆维吾尔自治区高校科研计划资助项目(XJEDU2018Y033)。

摘　　要：使用不动点定理研究一类非线性Hadamard分数阶微分方程正解的存在性,通过适当的非负矩阵来描述非线性的耦合行为,得到具有测度积分边界条件的非线性Hadamard分数阶微分方程正解。给出一个例子,来验证所获得理论结果的有效性和正确性。Based on the fixed point theorem, the existence of positive solutions for a class of nonlinear Hadamard fractional differential equations is studied. The positive solutions of nonlinear Hadamard fractional differential equations with measured integral boundary conditions are obtained by using non-negative matrix to describe nonlinear coupling behavior. An example is given to illustrate the validity and correctness of the main result.

关 键 词：Hadamard分数阶微分方程 边值条件 正解 不动点定理 

分 类 号：O175.14[理学—数学]