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一类分数阶微分包含耦合系统边值问题解的存在性
The existence of solutions for a class of coupled systems of fractional differential inclusions with coupled boundary value problems
【摘要】 利用Kakutani映射非线性选择性定理研究了一类分数阶微分包含耦合系统边值问题解的存在性,结果表明当多值映射具有凸值时上述边值问题至少存在一个解的充分条件.
【Abstract】 The existence of solutions for a class of coupled fractional-order differential inclusions systems supplemented with boundary value problems is investigated by using the nonlinear alternative for Kakutani maps theorem, and a sufficient condition is given for the existence of at least one solution to the above problem when the multi-valued mappings have convex values.
【关键词】 Kakutani映射非线性选择性定理;
分数阶微分包含;
耦合系统;
边值问题;
【Key words】 the nonlinear alternative for Kakutani maps theorem; fractional-order differential inclusions; coupled systems; boundary value problems;
【Key words】 the nonlinear alternative for Kakutani maps theorem; fractional-order differential inclusions; coupled systems; boundary value problems;
【基金】 吉林省教育厅“十三五”科学技术研究项目(JJKH20170454KJ)
- 【文献出处】 延边大学学报(自然科学版) ,Journal of Yanbian University(Natural Science Edition) , 编辑部邮箱 ,2021年01期
- 【分类号】O175.8
- 【被引频次】2
- 【下载频次】59