期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 85, 期 -, 页码 57-68出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2021.01.010
关键词
A posteriori error estimates; Fractional differential equations; Nonlinear equations; Sectorial operators; Holder continuity; Optimal regularity
资金
- Spanish Ministerio de Economia y Competitividad [RTI2018-094569-B100]
- program Beca Interamericana para Jovenes Profesores e Investigadores, Banco de Santander
- Fog Research Institute, Chile [FRI-454]
The study investigated the optimal regularity in terms of Holder continuity of linear and semi-linear abstract fractional differential equations in the framework of complex Banach spaces for providing a posteriori error estimates. The error can be bounded in terms of computable quantities, measured in the norm of Holder continuous and weighted Holder continuous functions, under certain assumptions.
In the present work the optimal regularity, in the sense of Holder continuity, of linear and semi-linear abstract fractional differential equations is investigated in the framework of complex Banach spaces. This framework has been considered by the authors as the most convenient to provide a posteriori error estimates for the time discretizations of such a kind of abstract differential equations. In the spirit of the classical a posteriori error estimates, under certain assumptions, the error is bounded in terms of computable quantities, in our case measured in the norm of Holder continuous and weighted Holder continuous functions.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据