文章基本信息

标题：On a time fractional diffusion with nonlocal in time conditions
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作者：Nguyen Hoang Tuan ; Nguyen Anh Triet ; Nguyen Hoang Luc 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：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03365-1
出版社：Hindawi Publishing Corporation
摘要：In this work, we consider a fractional diffusion equation with nonlocal integral condition. We give a form of the mild solution under the expression of Fourier series which contains some Mittag-Leffler functions. We present two new results. Firstly, we show the well-posedness and regularity for our problem. Secondly, we show the ill-posedness of our problem in the sense of Hadamard. Using the Fourier truncation method, we construct a regularized solution and present the convergence rate between the regularized and exact solutions.
关键词：35R11 ; 35B65 ; 26A33