无穷区间上分数阶耦合系统边值问题解的存在性  

Existence of Solutions for Boundary Value Problems of Fractional Order Coupled Systems on Infinite Interval

作　　者：郭晓珍 王文霞[1] GUO Xiaozhen;WANG Wenxia(Department of Mathematics,Taiyuan Normal University,Jinzhong 030619,China)

机构地区：[1]太原师范学院数学系,山西晋中030619

出　　处：《应用数学》2023年第1期16-25,共10页Mathematica Applicata

基　　金：国家自然科学基金(11361047)。

摘　　要：运用Leary-Schauder非线性抉择原理与Leggett-Williams不动点定理研究了一类无穷区间上分数阶耦合系统边值问题解的存在性,获得了上述边值问题至少有一个解或三个解的充分条件,最后给出两个例子作为所获结果的应用.By using the Leray-Schauder nonlinear alternative theorem and the Leggett-Williams fixed point theorem,the existence of solutions to the boundary value problem of a class of fractional order coupled systems on infinite intervals is studied.Some sufficient conditions on the existence of at least one solution and three solutions are established.Finally,two examples are given to illustrate the results.

关 键 词：分数阶微分系统 无穷区间 不动点 Riemann-Liouville分数阶导数 

分 类 号：O175.8[理学—数学]