文章基本信息

标题：Anti-periodic boundary value problems with Riesz–Caputo derivative
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作者：Fulai Chen ; Anping Chen ; Xia Wu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-13
DOI：10.1186/s13662-019-2001-z
出版社：Hindawi Publishing Corporation
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.
关键词：Riesz–Caputo derivative ; Fractional Gronwall inequality ; Fixed point theorem ; Boundary value problem