带有积分与无穷点边值条件的分数阶微分方程正解的存在唯一性  

Existence and Uniqueness of Positive Solutions for Fractional Differential Equations with Integral and Infinite-Point Boundary Conditions

作　　者：刘畅[1] 武瑜 王文霞[1] LIU Chang;WU Yu;WANG Wenxia(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong 030619,China)

机构地区：[1]太原师范学院数学与统计学院,山西晋中030619

出　　处：《太原师范学院学报（自然科学版）》2023年第1期5-11,共7页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：国家自然科学基金(11361047)。

摘　　要：研究了一类具有积分和无穷点边值条件的分数阶微分方程.运用和算子的不动点定理获得了该边值问题正解的存在唯一性的结果,并且构造了迭代序列去逼近这个解.A class of fractional differential equations with integral and infinite point boundary conditions is studied by using the fixed point theorem of the sum operator, we obtain the existence and uniqueness of the positive solution of the boundary value problem, and construct an iterative sequence to approximate the solution.

关 键 词：Riemann-Liouville分数阶导数 边值问题 不动点 和算子 

分 类 号：O175.8[理学—数学]