Existence and uniqueness results for a fractional evolution equation in Hilbert space

被引：1

作者：

Emilia Bazhlekova

机构：

[1] Bulgarian Academy of Sciences,Institute of Mathematics and Informatics

来源：

Fractional Calculus and Applied Analysis | 2012年 / 15卷

关键词：

fractional evolution equation; maximal regularity; kernel of positive type; accretive operator; subdiffusion equation; 26A33; 35R11; 35K10; 35R09;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The existence and uniqueness of the solution of a fractional evolution equation with the Riemann-Liouville fractional derivative of order α ∈ (0, 1) is studied in Hilbert space, based on the theory of sums of accretive operators. The results are applied to some subdiffusion problems.

引用

页码：232 / 243

页数：11

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