Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces

被引：2

作者：

Zhu, Bo ^{[1
]}

Han, Baoyan ^{[2
]}

Lin, Xiangyun ^{[3
]}

机构：

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

[2] Shandong Univ Art & Design, Common Course Teaching Dept, Jinan 250014, Shandong, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2019年 / 2019卷

基金：

中国国家自然科学基金;

关键词：

EVOLUTION-EQUATIONS; POSITIVE SOLUTIONS; PARAMETER; TIME;

D O I：

10.1155/2019/6295019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of nonlinear time fractional partial differential equations with delay. We obtain the existence and uniqueness of the mild solutions for the problem by the theory of solution operator and the general Banach contraction mapping principle. We need not extra conditions to ensure the contraction constant 0 < k < 1. Therefore, under some general conditions, we obtain our main results.

引用

页数：7

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