一类Caputo-Hadamard型分数阶微分方程耦合系统边值问题  

A Coupled System of Caputo-Hadamard Type Fractional Differential Equation Boundary Value Problem

作　　者：潘欣媛 何小飞[2] 陈国平[1] 李治林 PAN Xinyuan;HE Xiaofei;CHEN Guoping;LI Zhilin(College of Mathematics and Statistics,Jishou University,Jishou 416000,China;Zhangjiajie College,Jishou Univerisity,Zhangjiajie 427000,China)

机构地区：[1]吉首大学数学与统计学院,湖南吉首416000 [2]吉首大学张家界学院,湖南张家界427000

出　　处：《应用数学》2023年第4期987-996,共10页Mathematica Applicata

基　　金：国家自然科学基金(12261037)。

摘　　要：本文研究一类具有Caputo-Hadamard型导数的序列分数阶微分方程边值问题.利用Banach不动点定理、Leray-Schauder二择一定理、Leray-Schauder度理论研究边值问题解的存在唯一性,并用一些例子验证结果的有效性.In this paper,we study a class of Caputo-Hadamard type sequential fractional differential boundary value problem.We obtain the existence and uniqueness of solutions by using Banach’s fixed point theorem,Leray-Schauder’s nonlinear alternative and Leray-Schauder degree.Some examples are presented to illustrate the validity of our main results.

关 键 词：序列分数阶导数 Caputo-Hadamard型导数 耦合系统 不动点理论 LERAY-SCHAUDER度理论 

分 类 号：O175.8[理学—数学]