LOCAL EXISTENCE FOR NONLOCAL FRACTIONAL HEAT EQUATION ASSOCIATED WITH MEMORY TERM

被引：0

作者：

Long, Le Dinh ^{[1
,2
]}

Trang, Nguyen Pham Quynh ^{[3
,4
]}

Tuan, Nguyen Huy ^{[1
,2
]}

机构：

[1] Van Lang Univ, Sci & Technol Adv Inst, Div Appl Math, Ho Chi Minh City, Vietnam

[2] Van Lang Univ, Fac Technol, Ho Chi Minh City, Vietnam

[3] Univ Sci Ho Chi Minh City, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

[4] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 08期

关键词：

Banach fixed point theory; Mittag Leffler functions; fractional Laplacian; memory term; nonlocal problem; DIFFERENTIAL-EQUATIONS; TIME;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are interested to study the nonlocal problem for time and space fractional parabolic equation with memory term. We consider the existence and uniqueness of the mild solution of our problem in two different cases. Nonlinear sources and memory components are one of the reasons that make it difficult to study the problem. The main tool is of using Banach fixed point theorem and various space embeddings A numerical example is given to illustrate our theory.

引用

页码：1641 / 1662

页数：22

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