On a nonlocal problem for parabolic equation with time dependent coefficients

Advances in Difference Equations

article

Phuong, Nguyen Duc¹  Binh, Ho Duy²  Long, Le Dinh²  Yen, Dang Van³ 

[1] Faculty of Fundamental Science, Industrial University of Ho Chi Minh City;Division of Applied Mathematics, Thu Dau Mot University;Faculty of Information Technology, Ho Chi Minh City University of Technology

关键词: Parabolic equation;    Existence and regularity;    Conformable derivative;   

DOI  :  10.1186/s13662-021-03370-4

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY