摘要
利用和相关线性算子有关的φ1-正算子和谱半径解决了一种带有干扰项的分数阶微分方程的边界值问题,利用迭代方法得到了解的存在性和唯一性.
In this paper,a kind of boundary value problem of fractional differential equation with perturbed term is solved under the application of theφ1-positive operator and spectral radius with respect to relevant linear operator,both the existence and the uniqueness of the solution are obtained by using iterative method.
作者
刘冬玥
张克梅
LIU Dongyue;ZHANG Kemei(School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong,PRC)
出处
《曲阜师范大学学报(自然科学版)》
CAS
2020年第2期1-8,共8页
Journal of Qufu Normal University(Natural Science)
基金
National Natural Science Foundation of China(11571197)
Shandong Provincial Natural Science Foundation(ZR2016FM10).
关键词
分数阶微分方程
干扰项
格林函数
φ_(1)-正算子
谱半径
fractional differential equation
perturbed term
Green function
φ_(1)-positive operator
spectral radius