Anti-periodic boundary value problems with Riesz-Caputo derivative

被引：21

作者：

Chen, Fulai ^{[1
]}

Chen, Anping ^{[1
]}

Wu, Xia ^{[1
]}

机构：

[1] Xiangnan Univ, Coll Math & Finance, Chenzhou, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

关键词：

Riesz-Caputo derivative; Fractional Gronwall inequality; Fixed point theorem; Boundary value problem; ULAM-HYERS STABILITY; DIFFERENTIAL-EQUATIONS; EXISTENCE; TERMS;

D O I：

10.1186/s13662-019-2001-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a class of anti-periodic boundary value problems for fractional differential equations with the Riesz-Caputo derivative, which can reflected both the past and the future nonlocal memory effects. By means of new fractional Gronwall inequalities and some fixed point theorems, we obtain some existence results of solutions under the Lipschitz condition, the sublinear growth condition, the nonlinear growth condition and the comparison condition. Three examples are given to illustrate the results.

引用

页数：13

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