On a nonlocal problem for parabolic equation with time dependent coefficients

被引：0
|
作者：
Nguyen Duc Phuong
Ho Duy Binh
Le Dinh Long
Dang Van Yen
机构：
[1] Industrial University of Ho Chi Minh City,Faculty of Fundamental Science
[2] Thu Dau Mot University,Division of Applied Mathematics
[3] Ho Chi Minh City University of Technology,Faculty of Information Technology
来源：
Advances in Difference Equations | / 2021卷
关键词：
Parabolic equation; Existence and regularity; Conformable derivative; 35R11; 35B65; 26A33;
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摘要：
This paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various applications, such as physics, biology. The first part of this paper is to consider the well-posedness and regularity of the mild solution. The second one is to investigate the existence by using Banach fixed point theory.
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