A class of time-fractional reaction-diffusion equation with nonlocal boundary condition

被引：75

作者：

Zhou, Yong ^{[1
,2
]}

Shangerganesh, L. ^{[3
]}

Manimaran, J. ^{[3
]}

Debbouche, Amar ^{[4
]}

机构：

[1] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

[2] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[3] Natl Inst Technol, Dept Humanities & Sci, Farmagudi 403401, Goa, India

[4] Guelma Univ, Dept Math, Guelma 24000, Algeria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Faedo-Galerkin method; fractional reaction-diffusion equation; weak solution; EXISTENCE; MODEL; PROPERTY; GROWTH;

D O I：

10.1002/mma.4796

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of the study is to analyze the time-fractional reaction-diffusion equation with nonlocal boundary condition. The proposed model is used to predict the invasion of tumor and its growth. Further, we establish the existence and uniqueness of a weak solution of the proposed model using the Faedo-Galerkin method and compactness arguments.

引用

页码：2987 / 2999

页数：13

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