高阶加权k-Caputo-Fabrizio分数阶微分方程解的存在性和稳定性  

Existence and Stability Results for Higher Order Weighted k-Caputo-Fabrizio Fractional Differential Equation

作　　者：李纯硕 张晴[1] 李巧銮[1] 周丽娜[1] LI Chunshuo;ZHANG Qing;LI Qiaoluan;ZHOU Lina(School of Mathematical Sciences,Hebei Normal University,Hebei Shijiazhuang 050024,China)

机构地区：[1]河北师范大学数学科学学院,河北石家庄050024

出　　处：《河北师范大学学报（自然科学版）》2023年第1期18-27,共10页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11971145);河北师范大学数学科学学院创新资助项目(xycxzzss002)。

摘　　要：定义了高阶加权k-Caputo-Fabrizio分数阶导数,并利用不动点定理研究具有加权k-Caputo-Fabrizio分数阶导数的分数阶微分方程解的存在性和稳定性.In this paper,we first define the higher order weighted k-Caputo-Fabrizio fractional derivative,and then by means of fixed point theorems we research the existence and stability results for the higher order weighted k-Caputo-Fabrizio fractional differential equation.

关 键 词：加权k-Caputo-Fabrizio分数阶导数 不动点定理 存在性 稳定性 

分 类 号：O175.12[理学—数学]