Conformable分数阶微分方程三点共振边值问题解的存在性  

Existence of Solutions for Three-Point Boundary Value Problems ofConformable Fractional Differential Equations at Resonance

作　　者：江卫华[1] 董倩 JIANG Weihua;DONG Qian(School of Science,Hebei University of Science and Technology,Shijiazhuang 050018,China)

机构地区：[1]河北科技大学理学院,石家庄050018

出　　处：《吉林大学学报（理学版）》2021年第4期821-827,共7页Journal of Jilin University:Science Edition

基　　金：河北省自然科学基金(批准号:A2018208171).

摘　　要：考虑分数阶微分方程共振边值问题,通过定义合适的Banach空间、范数及算子,利用Mawhin重合度理论,证明Conformable型分数阶微分方程三点共振边值问题解的存在性,并得到了其解存在的一个充分条件.We considered the boundary value problem of fractional differential equations at resonance,by defining a proper Banach space,norms and operators,the Mawhin’s coincidence degree theory was used to prove the existence of solutions for the three-point boundary value problem of Conformable fractional differential equations at resonance,and a sufficient condition for the existence of its solution was obtained.

关 键 词：共振 Conformable分数阶 FREDHOLM算子 Mawhin的重合度理论 边值问题 

分 类 号：O175.8[理学—数学]