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
收藏
页码：73 / 79
页数：7
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