应用数学2021，Vol.34Issue(1)：47-58,12.
一类非线性共形分数阶微分方程的边值问题和脉冲初值问题
Boundary Value and Initial Value Problems with Impulsive Terms for Nonlinear Conformable Fractional Differential Equations
摘要
Abstract
In this paper, we are concerned with the existence and uniqueness of positive solutions for two kinds of nonlinear conformable fractional differential systems. By means of the fixed point theorems of sum-type operators and mixed monotone operators based on the cone theory, our results can not only guarantee the existence of a unique positive solution, but also be applied to construct an iterative scheme for approximating it. Finally, some examples are given to illustrate the main results.关键词
存在唯一性/和型算子/混合单调算子/锥理论/脉冲Key words
Existence and uniqueness/Sum-type operator/Mixed monotone operator/Cone theory/Impulsive分类
数理科学引用本文复制引用
周碧波,张玲玲,白桑..一类非线性共形分数阶微分方程的边值问题和脉冲初值问题[J].应用数学,2021,34(1):47-58,12.基金项目
Supported by the opening project of State Key Laboratory of Explosion Science and Technology(KFJJ19-06M) （KFJJ19-06M）
the Key R&D Program of Shanxi Province(201903D421042) （201903D421042）
