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影响因子：4.397

DOI码：10.1016/j.amc.2020.125574

发表刊物：Applied Mathematics and Computation

关键字：Fractional evolution equation; Discrete almost maximal regularity Stability; Resolvent family; Finite difference method

摘要：The present paper is devoted to the study of discrete almost maximal regularity and stability of the difference schemes of nonhomogeneous fractional evolution equations. Using the discretization method of the fractional derivative proposed by Ashyralyev, which actually is the same as the Grünwald-Letnikov approximation for the fractional derivative, the discrete almost maximal regularity and stability of the implicit difference scheme in Lpτn([0, 1],n) spaces are established. For the explicit difference scheme, the expression of the solution is obtained. Then the discrete almost maximal regularity and stability of explicit difference scheme in Lτpn([0, 1],n) spaces are achieved as well.

论文类型：SCI一区TOP

学科门类：理学

一级学科：数学

文献类型：Research Atricle

是否译文：否

发表时间：2021-07-26

收录刊物：SCI、CPCI-S

发布期刊链接：https://www.sciencedirect.com/journal/applied-mathematics-and-computation