Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay

被引：97

作者：

Zhu, Bo ^{[1
,2
]}

Liu, Lishan ^{[1
,3
]}

Wu, Yonghong ^{[3
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Shandong, Peoples R China

[3] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 61卷

基金：

中国国家自然科学基金;

关键词：

Nonlinear fractional reaction-diffusion equation; Local and global solutions; Theory of beta-resolvent family; Mild solution; Fixed point theorems; PARTIAL-DIFFERENTIAL-EQUATION; EVOLUTION-EQUATIONS; BOUNDARY-CONDITIONS; POSITIVE SOLUTIONS;

D O I：

10.1016/j.aml.2016.05.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the local and global existence of mild solutions to a class of nonlinear fractional reaction diffusion equations with delay via the theory of beta-resolvent family and fixed point theorems. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：73 / 79

页数：7

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