On the Generalization of a Solution for a Class of Integro-Differential Equations with Nonseparated Integral Boundary Conditions

被引：4

作者：

Xing, Yanyuan ^{[1
,2
]}

Jiao, Feng ^{[1
]}

Liu, Fang ^{[2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[2] Luliang Univ, Dept Math, Luliang 033000, Shanxi, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷

基金：

中国国家自然科学基金;

关键词：

FRACTIONAL DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS; STABILITY;

D O I：

10.1155/2020/8679465

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the existence and uniqueness results of the generalization nonlinear fractional integro-differential equations with nonseparated type integral boundary conditions are investigated. A natural formula of solutions is derived and some new existence and uniqueness results are obtained under some conditions for this class of problems by using standard fixed point theorems and Leray-Schauder degree theory, which extend and supplement some known results. Some examples are discussed for the illustration of the main work.

引用

页数：13

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