一类分数阶微分方程边值问题解的存在唯一性  

Existence and uniqueness of solutions for a class of boundary value problems of fractional differential equation

作　　者：孙晓阳 徐润[1] SUN Xiaoyang;XU Run(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC)

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2021年第2期49-54,共6页Journal of Qufu Normal University(Natural Science)

摘　　要：研究了依赖于二阶导数的一类新的分数阶微分方程解的存在唯一性问题.通过运用Banach压缩映射原理、不动点定理和加权范数,研究了解存在唯一性的充分条件.In this paper,the new uniqueness result of fractional differential equations which depends on the second derivative is studied.By using the Banach contraction principle,fixed point theorem and weighted norm,the sufficient conditions for the uniqueness of the solution is studied and an example is given to illustrate the results.

关 键 词：分数阶微分方程 唯一性结果 不动点定理 BANACH压缩映射原理 

分 类 号：O175.8[理学—数学]