吉林大学学报（理学版）2024，Vol.62Issue(4)：831-841,11.DOI:10.13413/j.cnki.jdxblxb.2023433
临界点理论在分数阶微分方程边值问题中的应用
Applications of Critical Point Theory to Boundary Value Problems of Fractional Differential Equations
摘要
Abstract
The critical point theory and the variational method were used to study the existence of the solution for the Caputo type fractional differential equation with the Sturm-Liouville boundary condition in Banach space.By defining the appropriate fractional derivative space,the existence of the solution to the boundary value problem of fractional differential equation was transformed into finding the critical point defined as the corresponding functional in a certain space,and a series of unbounded generalized solutions to the boundary value problem were obtained.关键词
Sturm-Liouville边值条件/临界点理论/变分法/不连续分数阶导数Key words
Sturm-Liouville boundary condition/critical point theory/variational method/discontinuous fractional derivative分类
数理科学引用本文复制引用
秦锐珍,周文学,曹美丽..临界点理论在分数阶微分方程边值问题中的应用[J].吉林大学学报（理学版）,2024,62(4):831-841,11.基金项目
国家自然科学基金(批准号:11961039). （批准号:11961039）
