Existence and regularity of inverse problem for the nonlinear fractional Rayleigh-Stokes equations

被引：21

作者：

Ngoc Tran Bao ^{[1
]}

Luc Nguyen Hoang ^{[2
,3
]}

Au Vo Van ^{[1
]}

Huy Tuan Nguyen ^{[4
]}

Zhou, Yong ^{[5
,6
]}

机构：

[1] Duy Tan Univ, Inst Res Dev, Da Nang 550000, Vietnam

[2] Univ Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

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

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

[5] Macau Univ Sci Technol, Fac Informat Technol, Macau 999078, Peoples R China

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 03期

关键词：

Fractional Rayleigh-Stokes equation; backward problem; existence; regularity; GENERALIZED 2ND-GRADE FLUID; SUBJECT; TERM;

D O I：

10.1002/mma.6162

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates an inverse problem for fractional Rayleigh-Stokes equations with nonlinear source. The fractional derivative in time is taken in the sense of Riemann-Liouville. The proposed problem has many applications in some non-Newtonian fluids. We obtain some results on the existence and regularity of mild solutions.

引用

页码：2532 / 2558

页数：27

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