高阶分数阶微分方程边值问题解的存在唯一性  

Existence and Uniqueness of Solutions toBoundary Value Problems for Higher-OrderFractional Differential Equations

作　　者：王张驰 

机构地区：[1]兰州理工大学,理学院,甘肃 兰州

出　　处：《理论数学》2023年第6期1769-1782,共14页Pure Mathematics

摘　　要：研究了具有混合单调非线性项的Riemann-Liouville 型高阶分数阶微分方程边值问题。 利用Green 函数的性质以及混合单调算子的不动点定理证明了该边值问题解的存在唯一性,并给出一个实例验证了结论的正确性。The boundary value problem of Riemann-Liouville higher order fractional differential equations with mixed monotone nonlinear terms is studied. By using the propertiesof Green's function and the fixed point theorem of mixed monotone operators, theexistence and uniqueness of the solution of the boundary value problem are proved,and an example is given to verify the correctness of the conclusion.

关 键 词：分数阶微分方程 边值问题 混合单调算子 存在唯一性 

分 类 号：O17[理学—数学]