一类分数阶微分方程边值问题解的存在性  

Existence of Solutions for a Class of Boundary Value Problems of Fractional Differential Equations

作　　者：冯立杰 FENG Lijie(School of Mathematics,Tianjin University,Tianjin 300350,Chin)

机构地区：[1]天津大学数学学院,天津300350

出　　处：《河北师范大学学报（自然科学版）》2018年第3期198-204,共7页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(61170019)

摘　　要：研究一类分数阶微分方程边值问题,其非线性项包含未知函数的Riemman-Liouville分数阶导数.利用格林函数的性质和单调迭代的方法得到该边值问题存在2个解的充分性条件,构造迭代序列来逼近这2个解,并举例说明了结果的有效性.A class of boundary value problems of fractional differential equations are investigated,which involves the Riemman-Liouville fractional derivative of the unknown function in the nonlinear term.Existence of two solutions is obtained by applying the properties of Green function and the monotone iteration technique.Two iterative sequences are established to approximate the solutions.An example is given to illustrate the validity of the result.

关 键 词：分数阶微分方程 边值问题 单调迭代 解 

分 类 号：O175.8[理学—数学]