一类Caputo-Fabrizio脉冲分数阶微分方程解的存在性  

Existence of Solutions for a Class of Caputo-Fabrizio Impulsive Fractional Differential Equations

作　　者：张德霞 王仲平 

机构地区：[1]兰州交通大学数理学院,甘肃 兰州

出　　处：《应用数学进展》2024年第12期5120-5128,共9页Advances in Applied Mathematics

摘　　要：在Banach空间中研究一类具有Caputo-Fabrizio分数阶导数且在非局部条件下的脉冲分数阶微分方程解的存在性。利用Schaefer不动点定理,压缩映射原理,Arzela-Ascoli定理,得到了该脉冲分数阶问题至少一个解和唯一解,并用一个例子验证其中一个结论。The existence of a class of impulsive fractional differential equations with Caputo-Fabrizio fractional derivatives under non-local conditions is studied in Banach space. Based on Schaefer’s fixed point theorem, compression mapping principle and Arzela-Ascoli theorem, at least one solution and the only solution of the pulse fractional order problem are obtained, and one of the conclusions is verified by an example.

关 键 词：Caputo-Fabrizio分数阶导数 Schaefer不动点定理 压缩映射原理 解的存在性 

分 类 号：O17[理学—数学]