一类具有耦合积分边值条件的分数阶微分系统正解的存在性

doi:10.6040/j.issn.1671-9352.0.2017.464

摘要/Abstract

摘要： 通过选择恰当的Banach空间及其范数,定义合适的算子,利用锥上的不动点定理和分数阶微积分理论,研究一类具有耦合积分边值条件的分数阶微分系统正解的存在性,并给出一个例子说明所得结论的应用。

Abstract: By defining appropriate Banach space and norm, giving the appropriate operators, using fixed-point theorem on cone and fractional calculus, the existence of positive solutions for fractional differential system with coupled integral boundary conditions is investigagted. An example is given to illustrate the application of the main result.

Key words: fixed-point theorem on cone, coupled integral boundary conditions, fractional differential system

中图分类号:

O175.8

亓婷婷, 张振福, 刘衍胜. 一类具有耦合积分边值条件的分数阶微分系统正解的存在性[J]. 《山东大学学报(理学版)》, 2019, 54(2): 71-78.

QI Ting-ting, ZHANG Zhen-fu, LIU Yan-sheng. Existence of positive solutions for fractional differential system with coupled integral boundary conditions[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(2): 71-78.

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