On a nonlocal problem for a Caputo time-fractional pseudoparabolic equation

被引：16

作者：

Nguyen, Anh Tuan ^{[1
]}

Hammouch, Zakia ^{[2
,3
,4
]}

Karapinar, Erdal ^{[1
,5
,6
]}

Tuan, Nguyen Huy ^{[7
]}

机构：

[1] Thu Dau Mot Univ, Div Appl Math, Binh Duong, Vietnam

[2] China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[3] Univ Moulay Ismail, Cole Normale Suprieure Mekns, Meknes, Morocco

[4] Harran Univ, Dept Math & Sci Educ, Sanliurfa, Turkey

[5] Cankaya Univ, Dept Math, Ankara, Turkey

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[7] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 18期

关键词：

Caputo fractional; fractional derivative; nonlocal condition; pseudoparabolic; semilinear equation;

D O I：

10.1002/mma.7743

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 pseudoparabolic equations with the nonlocal condition and the Caputo derivative. Two cases of problems (1-2) will be studied, which are linear case and nonlinear case. For the first case, we establish the existence, the uniqueness, and some regularity results by using some estimates technique and Sobolev embeddings. Second, the Banach fixed-point theorem will be applied to the nonlinear case to prove the existence and the uniqueness of the mild solution.

引用

页码：14791 / 14806

页数：16

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